Periodic solutions of nonlinear wave equations with general nonlinearities

DOI10.1007/s00220-003-0972-8zbMath1072.35015arXivmath/0211310OpenAlexW3103414125MaRDI QIDQ1418022

Philippe Bolle, Massimiliano Berti

Publication date: 6 January 2004

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211310

zbMATH Keywords

semilinear wave equationDirichlet boundary conditionsvariational methodsLyapunov-Schmidt reductionsmall amplitude periodic solutionsmountain pass type argument

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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