Strengthening upper bound for the number of critical levels of nonlinear functionals
Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 2, pp. 297-310 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 35D05, 47H15, 47J05, 49G99, 49R50, 58E05
@article{CMUC_1972_13_2_a7,
     author = {Fu\v{c}{\'\i}k, Svatopluk and Ne\v{c}as, Jind\v{r}ich and Sou\v{c}ek, Ji\v{r}{\'\i} and Sou\v{c}ek, Vladim{\'\i}r},
     title = {Strengthening upper bound for the number of critical levels of nonlinear functionals},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {297--310},
     year = {1972},
     volume = {13},
     number = {2},
     mrnumber = {0305169},
     zbl = {0253.58006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1972_13_2_a7/}
}
TY  - JOUR
AU  - Fučík, Svatopluk
AU  - Nečas, Jindřich
AU  - Souček, Jiří
AU  - Souček, Vladimír
TI  - Strengthening upper bound for the number of critical levels of nonlinear functionals
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1972
SP  - 297
EP  - 310
VL  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMUC_1972_13_2_a7/
LA  - en
ID  - CMUC_1972_13_2_a7
ER  - 
%0 Journal Article
%A Fučík, Svatopluk
%A Nečas, Jindřich
%A Souček, Jiří
%A Souček, Vladimír
%T Strengthening upper bound for the number of critical levels of nonlinear functionals
%J Commentationes Mathematicae Universitatis Carolinae
%D 1972
%P 297-310
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/CMUC_1972_13_2_a7/
%G en
%F CMUC_1972_13_2_a7
Fučík, Svatopluk; Nečas, Jindřich; Souček, Jiří; Souček, Vladimír. Strengthening upper bound for the number of critical levels of nonlinear functionals. Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 2, pp. 297-310. http://geodesic.mathdoc.fr/item/CMUC_1972_13_2_a7/

[1] F. E. BROWDER: Infinite dimensional manifolds and nonlinear eigenvalue pгoblems. Annals of Math. 82 (1965), 459-477. | MR

[2] E. S. CITLANADZE: Existence theorems for minimax points in Danach spaces. (Russian), Trudy Mosk. Mat. Obšč. 2 (1953), 235-274. | MR

[3] S. FUČÍK J. NEČAS: Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems. Math. Nachr. (to appear). | MR

[4] S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK: Upper bound for the number of eigenvalues for nonlineaг operators. Ann. Scuola Norm. Sup. Pisa (to appear). | MR

[5] S. FUČÍK J. NEČAS J. SOUČEK V. SOUČEK: Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators. Journ. Funct. Anal. (to appeaг).

[6] J. NEČAS: Les méthodes directes en théorie des équations elliptiques. Academia, Pгaha 1967.

[7] M. M. VAJNBERG: Variational methods for the study of non-lineaг operators. Holden-Day, 1964.

[8] E. HILLE R. S. PHILIPS: Functional analysis and semigroups. Providence, 1957.