A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory

Milan Kučera

Časopis pro pěstování matematiky (1979)

  • Volume: 104, Issue: 4, page 389-411
  • ISSN: 0528-2195

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Kučera, Milan. "A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory." Časopis pro pěstování matematiky 104.4 (1979): 389-411. <http://eudml.org/doc/21402>.

@article{Kučera1979,
author = {Kučera, Milan},
journal = {Časopis pro pěstování matematiky},
keywords = {Bifurcation Theory; Eigenvalue Problem; Variational Inequality; Glob},
language = {eng},
number = {4},
pages = {389-411},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory},
url = {http://eudml.org/doc/21402},
volume = {104},
year = {1979},
}

TY - JOUR
AU - Kučera, Milan
TI - A new method for obtaining eigenvalues of variational inequalities based on bifurcation theory
JO - Časopis pro pěstování matematiky
PY - 1979
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 104
IS - 4
SP - 389
EP - 411
LA - eng
KW - Bifurcation Theory; Eigenvalue Problem; Variational Inequality; Glob
UR - http://eudml.org/doc/21402
ER -

References

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  1. A.-F Abeasis J.-P. Dias, and A. Lopes-Pinto, Sur les valeurs propres du sous-differential d'une fonction convexe avec un noyau non borne, C. R. Acad. Sci. Paris, Ser. A 278 (1974), 1197-1199. (1974) MR0344950
  2. V. Benci A. M. Micheletti, Su un problema dia utovalori per disequazioni variazionali, Annali di Matematica pura ed applicata, Vol. CVII (1976), 359-371. (1976) MR0412941
  3. E. N. Dancer, On the structure of solutions of non-linear eigenvalue problems, Indiana Univ. Math. Joum., Vol. 23, No. 11 (1974), 1069-1076. (1974) Zbl0276.47051MR0348567
  4. J.-P. Dias, Variational inequalities and eigenvalue problems for nonlinear maximal monotone operators in a Hilbert space, American Journal of Math., Vol. 97, No. 4 (1976), 905-914. (1976) MR0420354
  5. J.-P. Dias J. Hernandez, A Sturm-Liouville theorem for some odd multivalued maps, Proc. Amer. Math. Soc, Vol. 53, No. 1 (1975), 72-74. (1975) MR0377632
  6. C. Do, The buckling of a thin elastic plate subjected to unilateral conditions, In „Applications of Methods of Functional Analysis to Problems in Mechanics", Lecture Notes in Mathematics, No. 503, 307-316, Springer-Verlag, Berlin-Heidelberg-New York 1976. (1976) Zbl0337.73034MR0669061
  7. S. Fučík J. Milota, Linear and nonlinear variational inequalities on halfspaces, Comment. Math. Univ. Carol. 16, 4 (1975), 663-682. (1975) MR0417877
  8. M. Kučera, A new method for obtaining eigenvalues of variational inequalities of the special type, Preliminary communication. Comment. Math. Univ. Carol. 18, 1 (1977), 205-210. (1977) MR0435909
  9. M. Kučera, A new method for obtaining eigenvalues of variational inequalities. Branches of eigenvalues of the equation with the penalty in a special case, Časopis pro pěstování matematiky, 104 (1979), 295-310. (1979) MR0543230
  10. M. Kučera, A new method for obtaining eigenvalues of variatonal inequalities. Operators with multiple eigenvalues, To appear. MR0654056
  11. M. Kučera J. Nečas J. Souček, The eigenvalue problem for variational inequalities and a new version of the Ljusternik-Schnirelmann theory, In "Nonlinear Analysis", Academic Press, New York-San Francisco-London 1978. (1978) MR0513782
  12. E. Miersemann, Über höhere Verzweigungspunkte nichtlinearer Variationsungleichungen, Math. Nachr. 85 (1978), 195-213. (1978) Zbl0324.49036MR0517651
  13. J. Naumann H. U. Wenk, On eigenvalue problems for variational inequalities, Rendiconti di Matematica 3, Vol. 9, Ser. VI (1976), 439-463. (1976) MR0470783
  14. P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, Journ. Funct. Anal. 7 (1971), 487-513. (1971) Zbl0212.16504MR0301587
  15. R. C. Riddell, Eigenvalue problems for nonlinear elliptic variational inequalities on a cone, Journ. Funct. Anal., Vol. 26, No. 4 (1977), 333-355. (1977) Zbl0369.47039MR0460882

Citations in EuDML Documents

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  1. Milan Kučera, A new method for obtaining eigenvalues of variational inequalities. Branches of eigenvalues of the equation with the penalty in a special case
  2. Milan Kučera, Bifurcation points of variational inequalities
  3. Milan Kučera, A new method for obtaining eigenvalues of variational inequalities: operators with multiple eigenvalues
  4. Erich Miersemann, On higher eigenvalues of variational inequalities
  5. Milan Kučera, Jiří Neustupa, Destabilizing effect of unilateral conditions in reaction-diffusion systems
  6. Pavel Drábek, Milan Kučera, Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
  7. Pavol Quittner, Spectral analysis of variational inequalities
  8. Jaroslav Resler, Stability of eigenvalues and eigenvectors of variational inequalities
  9. Milan Kučera, A global continuation theorem for obtaining eigenvalues and bifurcation points
  10. Pavel Drábek, Milan Kučera, Marta Míková, Bifurcation points of reaction-diffusion systems with unilateral conditions

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