Nontrivial solutions for some semilinear problems and applications to wave equations on balls and spheres

DOI10.12775/TMNA.1995.010zbMath0863.47043OpenAlexW2571820491MaRDI QIDQ1899890

Yanyan Li

Publication date: 3 June 1997

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1995.010

zbMATH Keywords

periodic solutionmultiple solutionscontinuationCarathéodory functionclosed linear operatorabstract nonlinear equationNemitskii operatorsemilinear wave equations on ballsspherical wave equations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to PDEs (35B10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Wave equation (35L05) Degree theory for nonlinear operators (47H11)

Related Items (6)

Free and forced vibrations of nonlinear wave equations in ball ⋮ Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance ⋮ Existence of multiple periodic solutions to asymptotically linear wave equations in a ball ⋮ Periodic solutions of a semilinear variable coefficient wave equation under asymptotic nonresonance conditions ⋮ Infinitely many periodic solutions for a semilinear wave equation in a ball in \(\mathbb R^n\) ⋮ Existence of multiple periodic solutions for a semilinear wave equation in an \(n\)-dimensional ball

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