Critical point theorems with relaxed boundary condition and applications

DOI10.1017/S0004972700012302zbMath0798.58015OpenAlexW1978465068MaRDI QIDQ4287869

Yihong Du

Publication date: 3 November 1994

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700012302

zbMATH Keywords

linkingmin-max theoryDirichlet problem with resonancerelaxed boundary condition

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Extensions of the mountain pass theorem
• A mountain pass theorem
• Critical point theorems for indefinite functionals
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A reduction method for some nonlinear dirichlet problems
• On the existence of a nontrivial solution to nonlinear problems at resonance

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