In Memoriam Jindřich Nečas

Ivan Hlaváček; Oldřich John; Alois Kufner; Josef Málek; Nečasová, Š. ; Jana Stará; Vladimír Šverák

Mathematica Bohemica (2004)

  • Volume: 129, Issue: 4, page 421-446
  • ISSN: 0862-7959

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Hlaváček, Ivan, et al. "In Memoriam Jindřich Nečas." Mathematica Bohemica 129.4 (2004): 421-446. <http://eudml.org/doc/32682>.

@article{Hlaváček2004,
author = {Hlaváček, Ivan, John, Oldřich, Kufner, Alois, Málek, Josef, Nečasová, Š. , Stará, Jana, Šverák, Vladimír},
journal = {Mathematica Bohemica},
keywords = {partial differential equations; obituary; anniversary; bibliography; partial differential equations; obituary; anniversary; bibliography},
language = {eng},
number = {4},
pages = {421-446},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {In Memoriam Jindřich Nečas},
url = {http://eudml.org/doc/32682},
volume = {129},
year = {2004},
}

TY - JOUR
AU - Hlaváček, Ivan
AU - John, Oldřich
AU - Kufner, Alois
AU - Málek, Josef
AU - Nečasová, Š. 
AU - Stará, Jana
AU - Šverák, Vladimír
TI - In Memoriam Jindřich Nečas
JO - Mathematica Bohemica
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 129
IS - 4
SP - 421
EP - 446
LA - eng
KW - partial differential equations; obituary; anniversary; bibliography; partial differential equations; obituary; anniversary; bibliography
UR - http://eudml.org/doc/32682
ER -

References

top
  1. Sobolev Spaces, Academic Press, New York, 1975. (1975) Zbl0314.46030MR0450957
  2. Estimates near the boundary for solutions to elliptic PDEs satisfying general boundary conditions I, II, Comm. Pure Appl. Math. 12, 17 (1959, 1964), 623–727, 35–92. (1959, 1964) 
  3. Decomposition of vector spaces and application to the Stokes problems in arbitrary dimension, Czechoslovak Math. J. 44 (1994), 109–141. (1994) MR1257940
  4. Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 63 (1977), 337–406. (1977) Zbl0368.73040MR0475169
  5. A convergent finite element formulation for transonic flow, Numer. Math. 56 (1989), 425–447. (1989) Zbl0681.76066MR1021618
  6. Analysis of the finite element variational crimes in the numerical approximation of transonic flow, Math. Comput. 61 (1993), 493–521. (1993) MR1192967
  7. Finite elements for transonic potential flows, Num. Meth. for PDEs 6, 15–42. MR1034431
  8. Mathematical Theory of Planar Elasticity, NČSAV, Praha, 1955. (Czech) (1955) 
  9. Variational boundary value problems for quasilinear elliptic equations of arbitrary order I , Proc. Natl. Acad. Sci. USA 50 (1963), 31–37; II. ibid., 592–598; III. ibid., 794–798. (1963) 
  10. Topological methods for nonlinear elliptic equations of arbitrary order, Pacif. J. Math. 17 (1966), 17–31. (1966) MR0203245
  11. Nonlinear functional analysis and nonlinear partial differential equations, Acta Facult. Rerum Naturalium Univ. Comeniae, Mathematica Publ. (Proceedings of the Conference Equadiff 2, Bratislava, 1966) 17 (1967), 45–64. (1967) Zbl0191.44002
  12. Backward uniqueness for the heat operator in half-space, Algebra i Analiz 15 (2003), 201–214. (2003) MR1979722
  13. Mathematical Methods in Fluid Dynamics, Pitman Monographs and Surveys in Pure and Applied Mathematics 67, Longman, Harlow, 1993. (1993) Zbl0819.76001MR1266627
  14. Solvability of Nonlinear Equations and Boundary Value Problems, D. Reidel, Holland, in co-edition with Society of Czechoslovak Mathematicians and Physicists, Czechoslovakia, 1980. (1980) MR0620638
  15. Nonlinear Differential Equations, SNTL, Praha, 1978. (Czech) (1978) 
  16. Regolaritá parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Sc. Norm. Sup. Pisa 23 (1969), 115–142. (1969) MR0247258
  17. Regolaritá parziale delle soluzioni di sistemi ellittici quasi lineari di ordine arbitrario, Ann. Sc. Norm. Sup. Pisa 27 (1973), 161–166. (1973) Zbl0261.35034MR0385297
  18. Precisazione delle funzioni H 1 , p e singolaritá delle soluzioni deboli di sistemi ellittici non lineari, Boll. U.M.I. 2 (1969), 71–76. (1969) MR0243190
  19. Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems, Annals Mat. Studies, Princeton University Press, 1983. (1983) Zbl0516.49003MR0717034
  20. Finite Element Methods for Navier-Stokes Equations, Springer Series in Computational Mathematics, Springer, 1986. (1986) MR0851383
  21. On the computation of transonic flows, Functional Analysis and Numerical Analysis (H. Fujita ed.), Tokyo and Kyoto, 1976, Japan Society for the Promotion of Science, 1978, pp. 143–173. (1978) 
  22. Nowhere continuous solutions to elliptic systems, Comment. Math. Univ. Carolin. 30 (1989), 33–43. (1989) MR0995699
  23. On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property, Comment. Math. Univ. Carolin. 25 (1984), 445–457. (1984) MR0775563
  24. Function Spaces, Academia, Praha, 1977. (1977) MR0482102
  25. The Mathematical Theory of Viscous Incompressible Flow, Second edition, Gordon and Breach Science Publishers, New York, 1969. (1969) Zbl0184.52603MR0254401
  26. Mouvement d’un liquide viscqueus emplissant l’espace, Acta Math. 63 (1934), 193–248. (1934) MR1555394
  27. Nonisolated singularities of solutions to a quasilinear elliptic system, Comment. Math. Univ. Carolin. 29 (1988), 421–426. (1988) MR0972826
  28. On L p estimates for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa 17 (1963), 189–206. (1963) MR0159110
  29. Parabolic systems with nowhere smooth solutions, Max-Planck-Institut in den Naturwissenschaften, Leipzig, Preprint no. 11 (2003), 1–23. (2003) MR2187312
  30. Convex integration for Lipschitz functions and counterexamples to regularity, Ann. Math. (2) 158 (2003), 1–23. (2003) 
  31. Nonlinear Analysis, Function Spaces and Applications I , Teubner-Texte vol. 19, Teubner, Leipzig, 1979. (1979) MR0578906
  32. Nonlinear Analysis, Function Spaces and Applications VII, Math. Inst. Acad. Sci., Praha, 2003. (2003) MR2605640
  33. Applications of Functional Analysis in Mathematical Physics, Izdat. Leningrad. Gos. Univ., Leningrad, 1950. (Russian) (1950) MR0052039
  34. On some regularity and nonregularity results for solutions to parabolic systems, Le Matematiche LV 2000-Supplemento n. 2 (2000), 145–163. (2000) MR1899663
  35. Nonisolated singularities of solutions to a quasilinear elliptic systems, Comment. Math. Univ. Carolin. 25 (1984), 273–281. (1984) 
  36. Navier-Stokes equations with lower bounds on the pressure, Arch. Ration. Mech. Anal. 163 (2002), 65–86. (2002) MR1905137
  37. Singular Integrals and Differentiability Properties of Functions, Princeton, 1970. (1970) Zbl0207.13501MR0290095
  38. Non-Lipschitz minimizers of smooth strongly convex functionals, Proc. Natl. Acad. Sci. USA 99 (2002), 15269–15276. (2002) MR1946762
  39. Introduction to oceanography, http://www.math.cmu.edu/cna/publications/OceanoSpring99.ps. 
  40. Interpolation Theory, Function Spaces, Differential Operators, Verlag der Wissenschaften, Berlin, 1977, second edition in J. A. Barth Verlag, Heidelberg, 1995. (1977, second edition in J. A. Barth Verlag, Heidelberg, 1995) MR1328645
  41. On Leray’s self-similar solutions of the Navier-Stokes equations satisfying local energy estimates, Arch. Ration. Mech. Anal. 143 (1998), 29–51. (1998) Zbl0916.35084MR1643650
  42. Les méthodes directes en théorie des équations elliptiques, Academia, Praha, and Masson et Cie, Éditeurs, Paris, 1967. (1967) MR0227584
  43. Spectral Analysis of Nonlinear Operators, Springer, Berlin, 1973. (1973) MR0467421
  44. Einführung in die Variationsrechnung, Teubner, Leipzig, 1977. (1977) MR0487654
  45. Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Studies in Applied Mechanics vol. 3, Elsevier, Amsterdam, 1980. (1980) MR0600655
  46. Riešenie variačných nerovností v mechanike, Alfa, Bratislava, 1982. (Slovak) (1982) MR0755152
  47. Introduction to the Theory of Nonlinear Elliptic Equations, Teubner-Texte zur Mathematik vol. 52, Teubner, Leipzig, 1983. (1983) MR0731261
  48. Reshenie variatsionnykh neravenstv v mekhanike, Mir, Moskva, 1986. (1986) MR0866889
  49. Introduction to the Theory of Nonlinear Elliptic Equations, John Wiley, Chichester, 1986. (1986) MR0874752
  50. Solution of Variational Inequalities in Mechanics, Applied Mathematical Sciences vol. 66, Springer, New York, 1988. (1988) MR0952855
  51. Écoulements de fluide: compacité par entropie, RMA: Research Notes in Applied Mathematics vol. 10, Masson, Paris, 1989. (1989) MR1269784
  52. Weak and Measure-Valued Solutions to Evolutionary PDEs, Applied Mathematics and Mathematical Computation vol. 13, Chapman & Hall, London, 1996. (1996) MR1409366
  53. Numerical methods for unilateral problems in solid mechanics, Handbook of Numerical Analysis vol. 4, Ciarlet, P. G. (ed.), North-Holland, Amsterdam, 1995, pp. 313–485. (1995) MR1422506
  54. Variational Methods for Solutions of Linear Elliptic Equations, ÚTAM ČSAV, 1960. (Czech) (1960) 
  55. Functional Analytic Methods of Solutions to Elliptic Partial Differential Equations, MÚ ČSAV, 1963. (Czech) (1963) 
  56. Introduction to the Calculus of Variations, SPN, Praha, 1972. (Czech) (1972) 
  57. Partial Differential Equations of Mathematical Physics, SPN, Praha, 1972. (Czech) (1972) 
  58. Introduction to the Mathematical Theory of Elastic and Elasto-Plastic Bodies, SPN, Praha, 1976. (Czech) (1976) 
  59. Regularité des solutions faibles d’equations elliptiques non-linéaires; applications à l’elasticité, Université Pierre et Marie Curie, Laboratoire d’analyse numerique, No. 81046, 1960. (1960) 
  60. On the Regularity of Weak Solutions to Nonlinear Elliptic Systems of Partial Differential Equations, Scuola Normale Superiore Pisa, 1979. (1979) 
  61. Influence of outside temperature on the strain of dams and other concrete masses, Appl. Mat. 1 (1956), 103–118. (Czech) (1956) 
  62. Influence of outside temperature on the strain of dams and other concrete masses (second part), Appl. Mat. 1 (1956), 186–199. (Czech) (1956) 
  63. Das Addieren unendlicher Reihen unter Benützung von Integraltransformationen, Appl. Mat. 1 (1956), 165–185. (1956) MR0099551
  64. Une note sur la propriété caractéristique de la transformée de Laplace d’une fonction et sur certains espace de Hilbert H ¯ k l dont la somme k = 0 , l = 0 H ¯ k l est l’ensemble des transformées de Laplace de distributions, Čas. Pěst. Mat. 83 (1958), 160–170. (Czech) (1958) MR0103394
  65. Solution du problème biharmonique pour le coin infini. I, Čas. Pěst. Mat. 83 (1958), 257–286. (1958) MR0102673
  66. Solution du problème biharmonique pour le coin infini. II, Čas. Pěst. Mat. 83 (1958), 399–424. (1958) MR0102673
  67. Résolution du problème de Dirichlet pour les équations elliptiques aux dérivées partielles du second ordre, Czechoslovak Math. J. 9 (1959), 467–469. (Russian) (1959) MR0114993
  68. Solution du problème biharmonique pour le coin infini pas convex, Čas. Pěst. Mat. 84 (1959), 90–98. (Czech) (1959) MR0107099
  69. L’extension de l’espace des conditions aux limites du problème biharmonique pour les domaines à points anguleux, Czechoslovak Math. J. 9 (1959), 339–371. (1959) MR0110900
  70. Über Grenzwerte von Funktionen, welche ein endliches Dirichletsches Integral haben, Apl. Mat. 5 (1960), 202–209. (1960) MR0118782
  71. Sur les solutions des équations elliptiques aux dérivées partielles du second ordre avec intégrale de Dirichlet non-bornée, Czechoslovak Math. J. 10 (1960), 283–289. (Russian) (1960) MR0114994
  72. Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle, Czechoslovak Math. J. 11 (1961), 662–683. (1961) MR0141872
  73. Sur le problème de Dirichlet pour l’équation aux dérivées partielles du quatrième ordre du type elliptique, Rend. Sem. Mat. Univ. Padova 31 (1961), 198–231. (1961) MR0126075
  74. Application de l’egalité de Rellich aux problémes aux limites, Collége de France, Sem. Eq. Der. Art., 1962, pp. 143–167. (1962) 
  75. Determination of stresses in a rectangular wedge by superposition of stressed states of halfplanes, Rev. Math. Pures Appl. (Bucarest) 7 (1962), 467–480. (Russian) (1962) MR0176660
  76. On the regularity of solutions of second-order elliptic partial differential equations with an unbounded Dirichlet integral, Arch. Ration. Mech. Anal. 9 (1962), 134–144. (1962) MR0142876
  77. On domains of type N , Czechoslovak Math. J. 12 (1962), 274–287. (Russian) (1962) MR0152734
  78. Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle, Ann. Scuola Norm. Sup. Pisa 16 (1962), 305–326. (1962) MR0163054
  79. Sur l’existence de la solution classique du problème de Poisson pour les domaines plans, Ann. Scuola Norm. Sup. Pisa 16 (1962), 285–296. (1962) MR0165225
  80. On the solution of elliptic partial differential equations with an unbounded Dirichlet integral, Differential Equations and Their Applications (Proc. Conf., Praha, 1962), Publ. House Czechoslovak Acad. Sci., Praha, 1963, pp. 93–104. MR0170092
  81. Sur la coercivité des formes bilinéaires pour les equations elliptiques, Atti del VII Congresso UMI Genova 1–2 (1963). (1963) 
  82. Sur les équations différentielles aux dérivées partielles du type elliptique du deuxième ordre, Czechoslovak Math. J. 14 (1964), 125–146. (1964) MR0174854
  83. Sur la coercivité des formes sesquilinéaires, elliptiques, Rev. Roumaine Math. Pures Appl. 9 (1964), 47–69. (1964) MR0179457
  84. L’application de l’égalité de Rellich sur les systèmes elliptiques du deuxième ordre, J. Math. Pures Appl. 44 (1965), 133–147. (1965) MR0181828
  85. Sur une méthode générale pour la solution des problèmes aux limites non-linéaires, Ann. Scuola Norm. Sup. Pisa 20 (1966), 655–674. (1966) MR0208153
  86. On extrema of functionals, Comment. Math. Univ. Carolin. 7 (1966), 509–520. (1966) MR0208440
  87. Sur la méthode variationnelle pour les équations aux dérivées partielles non linéaires du type elliptique; l’existence et la régularité des solutions, Comment. Math. Univ. Carolin. 7 (1966), 301–317. (1966) MR0206470
  88. Sur les normes equivalentes dans W p k et sur la coercivité des formes formellement positives, Sem. Math. Sup. Université Montréal (1966), 102–128. (1966) 
  89. Sulla regolarità delle soluzioni di equazioni ellittiche negli spazi H k , λ , Ann. Scuola Norm. Sup. Pisa 21 (1967), 527–545. (1967) MR0223723
  90. Sur l’appartenance dans la classe C ( k ) , μ des solutions variationnelles des équations elliptiques non-linéaires de l’ordre 2 k en deux dimensions, Comment. Math. Univ. Carolin. 8 (1967), 209–217. (1967) MR0217419
  91. Sur la régularité des solutions faibles des equations elliptiques non-lineaires, Collége de France (1967–1968), 20–57. (1967–1968) 
  92. Sur l’existence de la solution régulière pour le problème de Dirichlet de l’équation elliptique non-linéaire d’ordre 2 k , Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 42 (1967), 347–354. (1967) MR0222452
  93. Sur la régularité des solutions variationelles des équations elliptiques non-linéaires d’ordre 2 k en deux dimensions, Ann. Scuola Norm. Sup. Pisa 21 (1967), 427–457. (1967) MR0226467
  94. On the existence and regularity of solutions of nonlinear elliptic equations, Acta Fac. Rer. Nat. Univ. Comenianae Math. 17 (1967), 101–119. (1967) MR0273183
  95. On the existence and regularity of solutions of nonlinear elliptic equations, Diff. Equations and Their Applications, Equadiff 2 (Proc. Conf., Bratislava, 1966), pp. 101–119. MR0273183
  96. In memoriam Jana Kadlece, Čas. Pěst. Mat. 92 (1967), 490–492. (Czech) (1967) MR0226982
  97. In memoriam of Jan Kadlec, Czechoslovak Math. J. 18 (1968), 190–192. (1968) MR0226982
  98. Sur la régularité des solutions faibles des équations elliptiques non linéaires, Comment. Math. Univ. Carolin. 9 (1968), 365–413. (1968) MR0241804
  99. Convergence of a method for solving the magnetostatic field in nonlinear media, Appl. Math. 13 (1968), 456–465. (1968) 
  100. Les équations elliptiques non-linéaires, Czechoslovak Math. J. 19 (1969), 252–274. (1969) MR0252829
  101. Sur l’alternative de Fredholm pour les opérateurs non-linéaires avec applications aux problèmes aux limites, Ann. Scuola Norm. Sup. Pisa 23 (1969), 331–345. (1969) MR0267430
  102. Integral transforms (Operational calculus) Survey of Applicable Mathematics, Iliffe books LTD, London, 1969, pp. 1125–1136. (1969) 
  103. Remarks on a nonlinear theory of thin elastic plates, Mat. Čas. Slovensk. Akad. Vied 20 (1970), 62–71. (1970) MR0303085
  104. On inequalities of Korn’s type. I. Boundary-value problems for elliptic system of partial differential equations, Arch. Ration. Mech. Anal. 36 (1970), 305–311. (1970) MR0252844
  105. On inequalities of Korn’s type. II. Applications to linear elasticity, Arch. Ration. Mech. Anal. 36 (1970), 312–334. (1970) MR0252845
  106. The discreteness of the spectrum of a nonlinear Sturm-Liouville equation, Dokl. Akad. Nauk SSSR 201 (1971), 1045–1048. (Russian) (1971) MR0291547
  107. The discreteness of the spectrum of a nonlinear Sturm-Liouville equation of fourth order, Comment. Math. Univ. Carolin. 12 (1971), 639–653. (Russian) (1971) MR0291882
  108. On the demiregularity of weak solutions of nonlinear elliptic equations, Bull. Amer. Math. Soc. 77 (1971), 151–156. (1971) MR0268512
  109. Fredholm alternatives and application to boundary value problems, Trudy 3. sovetsko-chekhoslovackogo soveschanija, Novosibirsk, 1972, SOAN SSSR 1972, 162–171. (Russian) MR0420358
  110. Strengthening upper bound for the number of critical levels of nonlinear functionals, Comment. Math. Univ. Carolin. 13 (1972), 297–310. (1972) MR0305169
  111. Principio di massimo per i sistemi ellittici quasi-lineari non diagonali, Boll. Un. Mat. Ital. 6 (1972), 1–10. (1972) MR0315281
  112. Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems, Math. Nachr. 53 (1972), 277–289. (1972) MR0333863
  113. Remark on the Fredholm alternative for nonlinear operators with application to nonlinear integral equations of generalized Hammerstein type, Comment. Math. Univ. Carolin. 13 (1972), 109–120. (1972) MR0305171
  114. Fredholm alternative for nonlinear operators and applications to partial differential equations and integral equations, Čas. Pěst. Mat. 97 (1972), 65–71. (1972) MR0308882
  115. New infinite dimensional versions of Morse-Sard theorem, Boll. Un. Mat. Ital. 6 (1972), 317–322. (1972) MR0324724
  116. On the existence of Schauder bases in Sobolev spaces, Comment. Math. Univ. Carolin. 13 (1972), 163–175. (1972) MR0306890
  117. Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators, J. Funct. Anal. 11 (1972), 314–333. (1972) MR0341224
  118. Upper bound for the number of eigenvalues for nonlinear operators, Comment. Math. Univ. Carolin. 13 (1972), 191–195. (1972) MR0305168
  119. On the discreteness to the spectrum of a nonlinear Sturm-Liouville equation of the fourth order, Trudy 3. sovetsko-chekhoslovackogo soveschanija, Novosibirsk, SOAN SSSR (1972), 107–121. (Russian) (1972) MR0291547
  120. Spectral theory of nonlinear operators, Proceedings of Equadiff 3, Folia Fac. Sci. Natur. Univ. Purkynianae Brunensis, Ser. Monograph., Tomus 1, 1973, pp. 163–174. MR0350551
  121. Variational methods in nonlinear elasticity, Acta Polytechnica (1973), 129–133. (Czech) (1973) 
  122. Note to nonlinear spectral theory: application to the nonlinear integral equations of the Lichtenstein type, Math. Nachr. 58 (1973), 257–267. (1973) MR0340998
  123. On the existence of solutions of boundary-value problems for elastic-inelastic solids, Comment. Math. Univ. Carolin. 14 (1973), 755–760. (1973) MR0337100
  124. On the formulation of the traction problem for the flow theory of plasticity, Apl. Mat. 18 (1973), 119–127. (1973) MR0314342
  125. Kačanov-Galerkin method, Comment. Math. Univ. Carolin. 14 (1973), 651–659. (1973) MR0365300
  126. Range of nonlinear operators and application to boundary value problems, Math. Balcanica 3 (1973), 383–387. (1973) MR0372702
  127. On the range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolin. 14 (1973), 63–72. (1973) MR0318995
  128. Fredholm theory of boundary value problems for nonlinear ordinary differential operators, Proceedings of Summer School at Babylon in 1971, Academia, Praha, 1973, pp. 85–119. (1973) MR0402562
  129. Upper bound for the number of eigenvalues for nonlinear operators, Ann. Scuola Norm. Sup. Pisa 27 (1973), 53–71. (1973) MR0372918
  130. Mathematical models of elastic-inelastic materials, Schriftenreihe Zentralinst. Math. Mech. Akad. Wiss. DDR, No. 20 (1974), 227–232. (1974) MR0351222
  131. Krasnoselskii’s main bifurcation theorem, Arch. Ration. Mech. Anal. 54 (1974), 328–339. (1974) MR0380538
  132. On a boundary value problem in nonlinear theory of thin elastic plates, Apl. Mat. 19 (1974), 7–16. (1974) MR0338557
  133. Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels, Čas. Pěst. Mat. 99 (1974), 217–243. (1974) MR0370649
  134. Application of Rothe’s method to abstract parabolic equations, Czechoslovak Math. J. 24 (1974), 496–500. (1974) MR0348571
  135. Kačanov-Galerkin method and its application, Acta Univ. Carolin.-Math. et Phys. 15 (1974), 31–33. (1974) MR0386423
  136. On regularity of solutions to nonlinear variational inequalities for second-order elliptic systems, Rend. Mat. 8 (1975), 481–498. (1975) MR0382827
  137. On the solvability of von Kármán equations, Apl. Mat. 20 (1975), 48–62. (1975) MR0380099
  138. Kačanov’s method and its application, Rev. Roumaine Math. Pures Appl. 20 (1975), 907–916. (1975) MR0669240
  139. Ranges of nonlinear asymptotically linear operators, J. Differ. Eq. 17 (1975), 375–394. (1975) MR0372696
  140. An approximate method for finding the critical points of even functionals, Trudy Mat. Inst. Steklov. 134 (1975), 235–239. (1975) MR0391169
  141. Über die Regularität der schwachen Lösungen von Randwertaufgaben für quasilineare elliptische Differentialgleichungen höherer Ordnung, Czechoslovak Math. J. 25 (1975), 227–239. (1975) MR0387796
  142. Theory of locally monotone operators modeled on the finite displacement theory for hyperelasticity, Beiträge Anal. 8 (1976), 103–114. (1976) MR0500313
  143. A paradox in the theory of linear elasticity, Apl. Mat. 21 (1976), 431–433. (1976) MR0423941
  144. A remark on applications of the Laplace transform to abstract differential equations of parabolic type, Čas. Pěst. Mat. 101 (1976), 7–19. (1976) MR0477354
  145. Introduction to variational methods of solution of elliptic equations with applications to theory of elasticity, Proceedings of Summer School on Numerical Solution of Elliptic Equations by Finite Elements Method, Charles University, 1976. 
  146. Example of an irregular solution to a nonlinear elliptic system with analytic coefficients and conditions for regularity, Abh. Akad. Wiss. DDR Abt. Math.-Natur.-Tech., Jahrgang 1 (1977), 197–206. (1977) MR0509483
  147. Interior regularity of solutions to systems of variational inequalities, Čas. Pěst. Mat. 102 (1977), 73–82. (1977) MR0442452
  148. Sur les domaines des valeurs des opérateurs non-linéaires, Čas. Pěst. Mat. 102 (1977), 61–72. (1977) MR0637071
  149. Classical solution to a second order nonlinear elliptic system in 3 , Ann. Scuola Norm. Sup. Pisa Cl. Sci. 5 (1978), 605–631. (1978) MR0519886
  150. The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory, Nonlin. Anal., Academic Press, 1978, pp. 125–143. (1978) MR0513782
  151. Variational inequalities of elastoplasticity with internal state variables, Theory of Nonlinear Operators (Proc. Fifth Internat. Summer School, Central Inst. Math. Mech. Acad. Sci. GDR, Berlin, 1977), vol. 6, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 1978, Akademie-Verlag, Berlin, 1978, pp. 195–204. (1978) MR0540460
  152. An example of a nonsmooth solution of a nonlinear elliptic system with analytic coefficients and a smoothness condition, Proceedings of an All-Union Conference on Partial Differential Equations (Moscow State Univ., Moscow, 1976), Mekh., 1978. Moskov. Gos. Univ., pp. 174–177. (Russian) MR0543814
  153. Secant modulus method for the construction of a solution of nonlinear eigenvalue problems, Boll. Un. Mat. Ital. B 16 (1979), 694–710. (1979) MR0546485
  154. On a class of nonlinear initial value problems in Hilbert spaces, Math. Nachr. 93 (1979), 21–31. (1979) MR0579840
  155. Dynamic deformation processes of elastic-plastic systems, Z. Angew. Math. Mech. 59 (1979), 567–572. (1979) MR0563056
  156. On the regularity of weak solutions to nonlinear elliptic systems via Liouville’s type property, Comment. Math. Univ. Carolin. 20 (1979), 111–121. (1979) MR0526152
  157. On the regularity of weak solutions to variational equations and inequalities for nonlinear second order elliptic systems, Equadiff 4 (Proc. Czechoslovak Conf. Differential Equations and Their Applications, Prague, 1977), vol. 703, Lect. Notes Math, Springer, Berlin, 1979, pp. 286–299. (1979) MR0535349
  158. Liouville theorems for elliptic systems, Dokl. Akad. Nauk SSSR 252 (1980), 1312–1316. (Russian) (1980) MR0576139
  159. On the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, J. Reine Angew. Math. 316 (1980), 140–159. (1980) MR0581329
  160. On the solution of the variational inequality to the Signorini problem with small friction, Boll. Un. Mat. Ital. B 17 (1980), 796–811. (1980) MR0580559
  161. Evolutionary variational inequalities and applications in plasticity, Apl. Mat. 25 (1980), 241–256. (1980) MR0583585
  162. Zemřel docent Svatopluk Fučík, Čas. Pěst. Mat. 105 (1980), 91–101. (Czech) (1980) MR0560761
  163. Counterexample to the regularity of weak solution of elliptic systems, Comment. Math. Univ. Carolin. 21 (1980), 145–154. (1980) MR0566246
  164. Variational inequalities in elasticity and plasticity with application to Signorini’s problems and to flow theory of plasticity, Z. Angew. Math. Mech. 60 (1980), 20–26. (1980) MR0607476
  165. Gradient methods for the construction of Ljusternik-Schnirelmann critical values, RAIRO Anal. Numér. 14 (1980), 43–54. (1980) MR0566089
  166. In memoriam professor Svatopluk Fučík, Czechoslovak Math. J. 30, 105 (1980), 153–162. (1980) MR0565918
  167. A necessary and sufficient condition for the regularity of weak solutions to nonlinear elliptic systems of partial differential equations, Nonlinear Analysis (Berlin, 1979), vol. 2, Abh. Akad. Wiss. DDR, Abt. Math. Naturwiss. Tech., 1981, Akademie-Verlag, Berlin, 1981, pp. 201–209. (1981) MR0639924
  168. Elliptic differential equations, Math. Kongress DDR 1981, Math. Gesellschaft DDR, Leipzig, 1981. 
  169. Optimization of the domain in elliptic unilateral boundary value problems by finite element methods, Equadiff 5, Proceedings 1981, Teubner Texte B 47, pp. 131–135. MR0684830
  170. On the regularity for 2nd order nonlinear elliptic systems, Equadiff 5, Proceedings 1981, Teubner Texte B 47, pp. 165–168. 
  171. Optimization of the domain in elliptic unilateral boundary value problems by finite element method, RAIRO Anal. Numér. 16 (1982), 351–373. (1982) MR0684830
  172. A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities, Comment. Math. Univ. Carolin. 23 (1982), 645–655. (1982) MR0687560
  173. On the regularity up to the boundary for second order nonlinear elliptic systems, Pacific J. Math. 99 (1982), 1–17. (1982) MR0651482
  174. On the solution of the 19th Hilbert’s problem, Recent trends in mathematics. Reinhardsbrun 1982. Teubner Texte, Leipzig vol. 50, 1982, pp. 214–223. (1982) 
  175. 60th anniversary of birthday of Professor Karel Rektorys, Czechoslovak Math. J. 33 (1983), 320–323. (1983) MR0699030
  176. Šedesátiny Prof. RNDr. Karla Rektoryse, DrSc, Čas. Pěst. Mat. 108 (1983), 104–109. (1983) 
  177. Solution of Signorini’s contact problem in the deformation theory of plasticity by secant modules method, Apl. Mat. 28 (1983), 199–214. (1983) MR0701739
  178. On regular solutions to the displacement boundary value problem in finite elasticity, Trends in Applications of Pure Mathematics to Mechanics, vol. 4 (Bratislava, 1981), vol. 20, Monographs Stud. Math, Pitman, Boston, Mass., 1983, pp. 176–185. (1983) MR0731272
  179. Entropy regularization of the transonic potential flow problem, Comment. Math. Univ. Carolin. 25 (1984), 431–443. (1984) MR0775562
  180. Problèmes unilatéraux en élasticité non linéaire tridimensionnelle, C. R. Acad. Sci. Paris Sér. I Math. 298 (1984), 189–192. (1984) MR0741092
  181. On the solvability of transonic potential flow problems, Z. Anal. Anwend. 4 (1985), 305–329. (1985) MR0807140
  182. Injectivité presque partout, auto-contact, et non-interpénétrabilité en élasticité non-linéaire tridimensionnelle, C. R. Acad. Sci. Paris Sér. I Math. 301 (1985), 621–624. (1985) MR0816644
  183. Unilateral problems in nonlinear, three-dimensional elasticity, Arch. Ration. Mech. Anal. 87 (1985), 319–338. (1985) MR0767504
  184. Entropy compactification of the transonic flow, Equadiff 6 (Brno, 1985), Lect. Notes Math. 1192, Springer, Berlin, 1986, pp. 399–408. (1986) MR0877155
  185. On singularities of solutions to nonlinear elliptic systems of partial differential equations, Nonlinear Functional Analysis and Its Applications, Part 2 (Berkeley, Calif., 1983), vol. 45, Proc. Sympos. Pure Math, Amer. Math. Soc., Providence, R.I., 1986, pp. 219–228. (1986) MR0843610
  186. On the solution of transonic flows with weak shocks, Comment. Math. Univ. Carolin. 27 (1986), 791–804. (1986) MR0874673
  187. Entropy compactification of the transonic flow, Mathematical Methods in Engineering, Karlovy Vary I , 1986, pp. 97–101. (1986) MR0877155
  188. On the construction of Lusternik-Schnirelmann critical values with application to bifurcation problems, Appl. Anal. 25 (1987), 253–268. (1987) MR0912184
  189. Injectivity and self-contact in nonlinear elasticity, Arch. Ration. Mech. Anal. 97 (1987), 171–188. (1987) MR0862546
  190. Convergence of finite elements for transonic potential flows, SIAM J. Numer. Anal. 24 (1987), 985–996. (1987) MR0909059
  191. Strongly dissipative nonlinear hyperbolic systems, Proceeding of a seminar at Souš, Fyzika a matematika, JČMF Praha (1987), 7–13. (Czech) (1987) 
  192. Finite element approach to the transonic flow problem, Proceedings of the Second International Symposium on Numerical Analysis (Praha, 1987), vol. 107, Teubner-Texte Math, Teubner, Leipzig, 1988, pp. 70–74. (1988) MR1171689
  193. Viscosity method in a transonic flow, Comm. Partial Differ. Equ. 13 (1988), 775–812. (1988) MR0940958
  194. Remarks on the solvability of transonic flow problems, Manuscripta Math. 61 (1988), 417–428. (1988) MR0952087
  195. A viscosity solution method for transonic flow, Functional and numerical methods in mathematical physics vol. 271, Naukova Dumka, Kiev, 1988, pp. 155–161. (Russian) (1988) MR1038570
  196. Systems of nonlinear wave equations with nonlinear viscosity, Pacific J. Math. 135 (1988), 29–55. (1988) MR0965683
  197. Solvability of the system of von Kármán equations with nonhomogeneous boundary conditions in nonsmooth domains, Trudy Sem. Petrovsk. 258 (1988), 197–205. (Russian) (1988) MR0961435
  198. Dynamic in the nonlinear thermo-visco-elasticity, Symposium Partial Differential Equations (Holzhau, 1988), vol. 112, Teubner-Texte Math, Teubner, Leipzig, 1989, pp. 197–203. (1989) MR1105810
  199. Global solution to the ideal compressible heat conductive multipolar fluid, Comment. Math. Univ. Carolin. 30 (1989), 551–564. (1989) MR1031872
  200. On the weak compactness of solutions to the equations of compressible flow, Appl. Anal. 34 (1989), 35–52. (1989) 
  201. The current state and future of nonlinear analysis in Czechoslovakia, Pokroky Mat. Fyz. Astronom. 35 (1990), 250–255. (1990) MR1089850
  202. Uniqueness of solutions to the systems for thermoelastic bodies with strong viscosity, Math. Nachr. 149 (1990), 319–324. (1990) MR1124813
  203. The solution of transonic flow problems by the method of stabilization, Appl. Anal. 37 (1990), 143–167. (1990) MR1116164
  204. On weak solutions to a viscoelasticity model, Comment. Math. Univ. Carolin. 31 (1990), 557–565. (1990) MR1078489
  205. Approximation of a nonlinear thermoelastic problem with a moving boundary via a fixed-domain method, Apl. Mat. 35 (1990), 361–372. (1990) MR1072607
  206. Theory of multipolar viscous fluids, The mathematics of finite elements and applications, VII (Uxbridge, 1990), Academic Press, London, 1991, pp. 233–244. (1991) MR1132501
  207. Global existence of weak solutions to the nonlinear transmission line problem, Nonlin. Anal. 17 (1991), 903–921. (1991) MR1135950
  208. Global solution to the compressible isothermal multipolar fluid, J. Math. Anal. Appl. 162 (1991), 223–241. (1991) MR1135273
  209. A dynamic problem of thermoelasticity, Z. Anal. Anwend. 10 (1991), 357–368. (1991) MR1155615
  210. Some qualitative properties of the viscous compressible heat conductive multipolar fluid, Comm. Partial Differ. Equ. 16 (1991), 197–220. (1991) MR1104099
  211. Nonresonance conditions for the strong solvability of a general elliptic partial differential operator, Nonlin. Anal. 17 (1991), 613–625. (1991) MR1128963
  212. Multipolar viscous fluids, Quart. Appl. Math. 49 (1991), 247–265. (1991) MR1106391
  213. On regularity of solutions of nonlinear parabolic systems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 18 (1991), 1–11. (1991) MR1118218
  214. A model of wave propagation in a nonlinear superconducting dielectric, Differ. Int. Equ. 5 (1992), 1185–1199. (1992) MR1171986
  215. Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer, Czechoslovak Math. J. 42 (1992), 549–576. (1992) MR1179317
  216. Global solution to the viscous compressible barotropic multipolar gas, Theoret. Comput. Fluid Dynamics 4 (1992), 1–11. (1992) 
  217. Phenomenological behavior of multipolar viscous fluids, Quart. Appl. Math. 50 (1992), 559–583. (1992) MR1178435
  218. Global solution to the incompressible viscous-multipolar material problem, J. Elasticity 29 (1992), 175–202. (1992) MR1184264
  219. Variational inequality for a viscous drum vibrating in the presence of an obstacle, Rend. Mat. Appl. 12 (1993), 943–958. (1993) MR1218596
  220. Solutions for incompressible non-Newtonian fluids, C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), 795–800. (1993) MR1244433
  221. Existence of global weak solutions to the dynamical problem for a three-dimensional elastic body with singular memory, SIAM J. Math. Anal. 24 (1993), 36–45. (1993) MR1199525
  222. On the non-Newtonian incompressible fluids, Math. Models Methods Appl. Sci. 3 (1993), 35–63. (1993) MR1203271
  223. Theory of multipolar fluids, Problems and Methods in Mathematical Physics (Chemnitz, 1993), Teubner-Texte Math., Teubner, Stuttgart, 1994, pp. 111–119. (1994) MR1288320
  224. Young measure-valued solutions for non-Newtonian incompressible fluids, Comm. Partial Differ. Equ. 19 (1994), 1763–1803. (1994) MR1301173
  225. Landesman-Lazer condition for properly elliptic operators, Boll. Un. Mat. Ital. A  8 (1994), 65–74. (1994) MR1273188
  226. Existence of global weak solutions for a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials, Math. Ann. 299 (1994), 275–291. (1994) MR1275768
  227. Bounds for the dimensions of the attractors of nonlinear bipolar viscous fluids, Asymptotic Anal. 11 (1995), 131–167. (1995) MR1350404
  228. Existence, uniqueness, and stability of solutions to the initial-boundary value problem for bipolar viscous fluids, Differ. Int. Equ. 8 (1995), 453–464. (1995) MR1296135
  229. Bounds for the dimensions of the attractors of nonlinear bipolar viscous fluids, Asymp. Anal. 11 (1995), 131–167. (1995) MR1350404
  230. Theory of multipolar fluids, World Congress of Nonlinear Analysts ’92, vol. I–IV (Tampa, FL, 1992), De Gruyter, Berlin, 1996, pp. 1073–1081. (1996) MR1389142
  231. The exterior problem in the plane for a non-Newtonian incompressible bipolar viscous fluid, Rocky Mountain J. Math. 26 (1996), 1245–1260. (1996) MR1447585
  232. Sur une remarque de J. Leray concernant la construction de solutions singulières des équations de Navier-Stokes, C. R. Acad. Sci. Paris Sér. I Math. 323 (1996), 245–249. (1996) MR1404768
  233. On Leray’s self-similar solutions of the Navier-Stokes equations, Acta Math. 176 (1996), 283–294. (1996) MR1397564
  234. An example of irregular solution to a nonlinear Euler-Lagrange elliptic system with real analytic coefficients, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 23 (1996), 57–67. (1996) MR1401417
  235. A finite-dimensional attractor for three-dimensional flow of incompressible fluids, J. Differ. Equ. 127 (1996), 498–518. (1996) MR1389407
  236. On axially symmetric flows in R 3 , Z. Anal. Anwend. 18 (1999), 639–649. (1999) MR1718156
  237. On possible singular solutions to the Navier-Stokes equations, Math. Nachr. 199 (1999), 97–114. (1999) MR1676326
  238. On the existence and uniqueness of flows of multipolar fluids of grade 3 and their stability, Int. Journ. Eng. Sciences 37 (1999), 75–96. (1999) MR1669936
  239. Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory, Z. Anal. Anwend. 18 (1999), 939–951. (1999) MR1736259
  240. On the weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case p 2 , Adv. Differ. Equ. 6 (2001), 257–302. (2001) MR1799487
  241. Buoyancy-driven viscous flow with L 1 -data, Nonlin. Anal. Ser. A: Theory Methods 46 (2001), 737–755. (2001) MR1857155
  242. On blow up of solution for Euler equations, M2AN Math. Model. Numer. Anal. 35 (2001), 229–238. (2001) MR1825697
  243. Global analysis of the flows of fluids with pressure-dependent viscosities, Arch. Ration. Mech. Anal. 165 (2002), 243–269. (2002) MR1941479
  244. New conditions for local regularity of a suitable weak solution to the Navier-Stokes equation, J. Math. Fluid Mech. 4 (2002), 237–256. (2002) MR1932862
  245. Global existence of solutions for flows of fluids with pressure and shear dependent viscosities, Appl. Math. Lett. 15 (2002), 961–967. (2002) MR1925921
  246. On the concept of very weak L 2 solutions to Euler’s equations, SIAM J. Math. Anal. 33 (2002), 995–1006. (2002) MR1897698
  247. Numerical simulations and global existence of solutions of two-dimensional flows of fluids with pressure- and shear-dependent viscosities, Modelling 2001 (Pilsen), Math. Comput. Simulation 61 (2003), 297–315. (2003) MR1984133

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