Critical point theorems and applications to differential equations

DOI10.1007/s10114-004-0442-zzbMath1087.49005OpenAlexW1963566456MaRDI QIDQ2577869

Abdelrachid El Amrouss

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0442-z

zbMATH Keywords

critical point theoryHamiltonian systemresonancesemilinear elliptic boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Existence of solutions for minimax problems (49J35) Resonance in context of PDEs (35B34)

Related Items (5)

Nontrivial solutions of semilinear equations at resonance ⋮ Multiplicity results for quasi-linear problems ⋮ Note on a general Palais-Smale condition ⋮ Unnamed Item ⋮ On compactness conditions for the \(p\)-Laplacian

Cites Work

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• Critical point theorems for indefinite functionals
• Dual variational methods in critical point theory and applications
• 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
• Some critical point theorems and applications
• Variational elliptic problems which are nonquadratic at infinity

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