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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
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Category: math
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MSC: 35D05
MSC: 47H15
MSC: 47J05
MSC: 49G99
MSC: 49R50
MSC: 58E05
idZBL: Zbl 0253.58006
idMR: MR0305169
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Date available: 2008-06-05T20:38:34Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105417
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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.
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