Cantor families of periodic solutions for completely resonant wave equations

DOI10.1007/s11464-008-0011-3zbMath1160.35476OpenAlexW2061421311MaRDI QIDQ942943

Massimiliano Berti, Philippe Bolle

Publication date: 8 September 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0011-3

zbMATH Keywords

nonlinear wave equationLyapunov-Schmidt reductionvariational methodNash-Moser theoremsmall divisorinfinite dimensional Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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