Nontrivial periodic solutions of a nonlinear beam equation

DOI10.1002/mma.1670040113zbMath0501.35004OpenAlexW2065149022MaRDI QIDQ3966482

Kung-Ching Chang, Luís Sanchez

Publication date: 1982

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670040113

zbMATH Keywords

critical pointnonlinear beam equationmountain pass lemmaduality argumentPalais Smale conditionnontrivial periodic solutions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

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• Dual variational methods in critical point theory and applications
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems