Title:
|
Strengthening upper bound for the number of critical levels of nonlinear functionals (English) |
Author:
|
Fučík, Svatopluk |
Author:
|
Nečas, Jindřich |
Author:
|
Souček, Jiří |
Author:
|
Souček, Vladimír |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
13 |
Issue:
|
2 |
Year:
|
1972 |
Pages:
|
297-310 |
. |
Category:
|
math |
. |
MSC:
|
35D05 |
MSC:
|
47H15 |
MSC:
|
47J05 |
MSC:
|
49G99 |
MSC:
|
49R50 |
MSC:
|
58E05 |
idZBL:
|
Zbl 0253.58006 |
idMR:
|
MR0305169 |
. |
Date available:
|
2008-06-05T20:38:34Z |
Last updated:
|
2012-04-27 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105417 |
. |
Reference:
|
[1] F. E. BROWDER: Infinite dimensional manifolds and nonlinear eigenvalue pгoblems.Annals of Math. 82 (1965), 459-477. MR 0203249 |
Reference:
|
[2] E. S. CITLANADZE: Existence theorems for minimax points in Danach spaces.(Russian), Trudy Mosk. Mat. Obšč. 2 (1953), 235-274. MR 0055574 |
Reference:
|
[3] S. FUČÍK J. NEČAS: Ljusternik-Schnirelmann theorem and nonlinear eigenvalue problems.Math. Nachr. (to appear). MR 0333863 |
Reference:
|
[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 0305168 |
Reference:
|
[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). |
Reference:
|
[6] J. NEČAS: Les méthodes directes en théorie des équations elliptiques.Academia, Pгaha 1967. |
Reference:
|
[7] M. M. VAJNBERG: Variational methods for the study of non-lineaг operators.Holden-Day, 1964. |
Reference:
|
[8] E. HILLE R. S. PHILIPS: Functional analysis and semigroups.Providence, 1957. |
. |