Nonlinear elliptic equations

Jindřich Nečas

Czechoslovak Mathematical Journal (1969)

  • Volume: 19, Issue: 2, page 252-274
  • ISSN: 0011-4642

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Nečas, Jindřich. "Les équations elliptiques non linéaires." Czechoslovak Mathematical Journal 19.2 (1969): 252-274. <http://eudml.org/doc/12468>.

@article{Nečas1969,
author = {Nečas, Jindřich},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial differential equations},
language = {fre},
number = {2},
pages = {252-274},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Les équations elliptiques non linéaires},
url = {http://eudml.org/doc/12468},
volume = {19},
year = {1969},
}

TY - JOUR
AU - Nečas, Jindřich
TI - Les équations elliptiques non linéaires
JO - Czechoslovak Mathematical Journal
PY - 1969
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 19
IS - 2
SP - 252
EP - 274
LA - fre
KW - partial differential equations
UR - http://eudml.org/doc/12468
ER -

References

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  2. F. E. Browder, Variational methods for nonlinear elliptic eigenvalue problems, Bull. Amer. Math. Soc. 71 (1965), 178-183. (1965) Zbl0135.15802MR0179459
  3. F. E. Browder, 10.1007/BF00253135, Archive for Rat. Mech. and Anal. 20 (1965), 251-258. (1965) Zbl0135.32404MR0187122DOI10.1007/BF00253135
  4. E. R. Buley, The differentiability of solutions of certain variational problems for multiple integrals, Technical Report 16, University of Berkeley, 1960. (1960) 
  5. E. De Giorgi, Sulla differentiabilità e l'analyticità delle estremali degli integrali multipli m regolari, Mem. Accad. Sei. Torino 3 (1957), 25-43. (1957) MR0093649
  6. P. Hartman G. Stampacchia, 10.1007/BF02392210, Acta Math. Uppsala, 115 (1966), 271-350. (1966) MR0206537DOI10.1007/BF02392210
  7. O. A. Ладысисенская H. H. Уралцева, Линейные и квазилинейные уравнения эллиптического типа, Moskva 1964, (1964) Zbl1230.62001
  8. А. Лангенбах, О некоторых нелинейных операторах теории упругости в гилбертовском протсранстве, Вест. Ленинград. Государ. Университета, б (1961), 38-50. (1961) Zbl1160.68305
  9. J. Leray J. L. Lions, Quelques résultats de Visik sur les problèmes elliptiques linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France 93 (1965), 97-107. (1965) MR0194733
  10. N. G. Meyers, On L_p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola norm. Sup. Pisa 17 (1963), 189-206. (1963) MR0159110
  11. С. Г. Михлин, Чиселнная реализация варияционных методов, Moskva 1966. (1966) Zbl1155.78304
  12. G. J. Minty, 10.1215/S0012-7094-62-02933-2, Duke Math. Journ. 29 (1962), 341-346. (1962) MR0169064DOI10.1215/S0012-7094-62-02933-2
  13. G. J. Minty, 10.1073/pnas.50.6.1038, , Proc. Nat. Acad. Sc. USA, 50 (1963), 1038-1041. (1963) MR0162159DOI10.1073/pnas.50.6.1038
  14. Ch. B. Morrey, Multiple integrals in the calculus of variations, Springer 1966. (1966) Zbl0142.38701
  15. J. Nečas, 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. Calor. 7, 3 (1966) 301-317. (1966) Zbl0151.15102MR0206470
  16. J. Nečas, On the existence and regularity of solutions of nonlinear elliptic equations, Proceed. of Equadiff II, Bratislava 1966. (1966) MR0273183
  17. J. Nečas, 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. Carol. 5, 2 (1967), 209-217. (1967) MR0217419
  18. J. Nečas, Sur la régularité des solutions variationnelles des équations elliptiques non-linéaires d'ordre 2k en deux dimensions, Annali Scuola Norm. Sup. Pisa XXI (1967), 427-457. (1967) Zbl0171.09401MR0226467
  19. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  20. J. Nečas, Об областях типа 91, Czech. Math. Journ. 12 (1962), 274-287. (1962) 
  21. J. Nečas, Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle, Annali Scuola Norm. Sup. Pisa, XVI. 1962, 305-326. (1962) MR0163054
  22. J. Nečas Z. Poracká, On extrema of functional, Comment. Math. Univ. Carol. 7. 4 (1966), 509-520. (1966) MR0208440
  23. G. Stampacchia, Équations elliptiques du second ordre à coefficients discontinus, Sém. sur les équat. diff.. Collège de France, 1963-64. (1963) 
  24. G. Stampacchia, Le même titre, Sémin. de mathématiques supérieures, Montréal 1965, Université Montréal 1966. (1965) 
  25. M. M. Вайнберг, Вариационные методы исследования нелинейных операторов, Москва 1956. (1956) Zbl0995.90522
  26. М. М. Vajnberg R. I. Kacurovskij, On the variational theory of nonlinear operators and equations, (en russe) ДАН СССР 129 (1959), 1199--1202. (1959) 
  27. M. И. Вишик, Квазилинейные силно-элиптические системи дифференциальных уравнений имеющие дивергентную форму, Труды московского матем. общества 12 (1963), 125-182. (1963) Zbl1145.93303

Citations in EuDML Documents

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  1. Alois Kufner, Jiří Rákosník, Boundary value problems for nonlinear partial differential equations in anisotropic Sobolev spaces
  2. Jan Franců, Monotone operators. A survey directed to applications to differential equations
  3. Jindřich Nečas, Jan Kratochvíl, On the existence of solutions of boundary-value problems for elastic-inelastic solids
  4. Jozef Kačur, On existence of the weak solution for non-linear partial differential equations of elliptic type. II.
  5. Jozef Kačur, On existence of the weak solution for non-linear partial differential equations of elliptic type
  6. Jozef Kačur, Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
  7. Manfred Müller, Jindřich Nečas, Über die Regularität der schwachen Lösungen von Randwertaufgaben für quasilineare elliptische Differentialgleichungen höherer Ordnung
  8. Walter Petry, Existence theorems for operator equations and nonlinear elliptic boundary-value problems
  9. Daniela Giachetti, Elvira Mascolo, Rosanna Schianchi, Higher order nonlinear partial differential equations in unbounded domains of 𝐑 n
  10. Ivan Hlaváček, Oldřich John, Alois Kufner, Josef Málek, Nečasová, Š. , Jana Stará, Vladimír Šverák, In Memoriam Jindřich Nečas

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