Applications of sandwich pairs

DOI10.1016/J.NA.2008.10.044zbMath1238.58007OpenAlexW2042001255MaRDI QIDQ419746

Schechter, Martin

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.044

zbMATH Keywords

variational methodscritical point theorysaddle point theorysemilinear differential equations and systems

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Semilinear elliptic equations (35J61)

Cites Work

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• Infinite-dimensional sandwich pairs
• New linking theorems
• On a double resonant problem in \(\mathbb R^N\).
• Linking theorems and applications to semilinear elliptic problems at resonance
• Sandwich pairs in critical point theory
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational elliptic problems which are nonquadratic at infinity
• A generalization of the saddle point method with applications

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