Existence of infinitely many small periodic solutions for a semilinear variable coefficients wave equation with resonant potential

DOI10.3934/cpaa.2023111zbMath1529.35016OpenAlexW4387443052MaRDI QIDQ6086444

Hui Wei

Publication date: 12 December 2023

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2023111

zbMATH Keywords

periodic solutionswave equationvariational methodsperiodic boundary conditionsresonant potential

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Variational methods applied to PDEs (35A15) Second-order semilinear hyperbolic equations (35L71)

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