Linking in Hilbert space

DOI10.1090/S0002-9939-05-08217-1zbMath1161.58303OpenAlexW1980008893MaRDI QIDQ5705549

Schechter, Martin, Kyril Tintarev

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08217-1

zbMATH Keywords

Critical point theory, variational methods, saddle point theory

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for problems in abstract spaces (49J27)

Related Items (1)

Finding linking sets

Cites Work

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• New linking theorems
• Critical point theorems for indefinite functionals
• Critical point theory and Hamiltonian systems
• Periodic solutions of singular Lagrangian systems
• Infinite dimensional Morse theory and multiple solution problems
• The intrinsic mountain pass
• Minimax theorems
• Linking theorems and applications to semilinear elliptic problems at resonance
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Ekeland's variational principle and the mountain pass lemma
• Variational and topological methods in nonlinear problems
• Remarks on finding critical points
• Isotopic linking and critical points of functionals

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