Critical point theorem for asymptotically quadratic functional without compactness

DOI10.1016/J.JMAA.2010.04.071zbMath1194.58010OpenAlexW2047590251MaRDI QIDQ984824

Zhanping Liang, Jiabao Su

Publication date: 20 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.071

zbMATH Keywords

Morse theorycritical pointcritical groupquadratic functional

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General theory of ordinary differential operators (47E05)

Cites Work

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• Asymptotically linear elliptic problems at resonance
• Critical point theory and Hamiltonian systems
• Infinite dimensional Morse theory and multiple solution problems
• Existence of multiple critical points for an asymptotically quadratic functional with applications
• Multiplicity results for asymptotically linear elliptic problems at resonance.
• On differentiable functions with isolated critical points
• Solutions of asymptotically linear operator equations via morse theory
• Multiple solutions for indefinite functionals and applications to asymptotically linear problems
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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