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Cantor families of periodic solutions for completely resonant wave equations |
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| Authors: | Massimiliano Berti Philippe Bolle |
| Affiliation: | (1) Dipartimento di Matematica e Applicazioni R. Caccioppoli, Università Federico II di Napoli, Via Cintia, Monte S. Angelo, 80126 Napoli, Italy;(2) Laboratoire d’Analyse non linéaire et Géométrie, Université d’Avignon, 33, rue Louis Pasteur, 84000 Avignon, France |
| Abstract: | We present recent existence results of Cantor families of small amplitude periodic solutions for completely resonant nonlinear wave equations. The proofs rely on the Nash-Moser implicit function theory and variational methods. |
| Keywords: | Nonlinear wave equation infinite dimensional Hamiltonian system periodic solution variational method Lyapunov-Schmidt reduction small divisor Nash-Moser Theorem |
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