We present recent existence and multiplicity results of small amplitude periodic solutions of completely resonant nonlinear wave equations with frequencies belonging to a Cantor-like set of asymptotically full measure. The proofs rely on a suitable Lyapunov-Schmidt decomposition, a variant of the Nash-Moser Implicit Function Theorem and Variational Methods.
|Titolo:||Nonlinear oscillations of completely resonant wave equations|
|Data di pubblicazione:||2007|
|Appare nelle tipologie:||4.1 Contribution in Conference proceedings|