Infinitely many periodic solutions for the equation: \(u_{tt}-u_{xx}\pm | u| ^{s-1}\,u=f(x,t)\)

DOI10.3792/pjaa.61.70zbMath0591.35008OpenAlexW2048919763MaRDI QIDQ1074761

Kazunaga Tanaka

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.70

zbMATH Keywords

nonlinear wave equationsformulation\(2\pi\)-periodic solutionsdual variational

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) Wave equation (35L05)

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