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.
Nonlinear oscillations of completely resonant wave equations / Berti, Massimiliano. - (2007), pp. 9-16. ((Intervento presentato al convegno Equadiff-11 tenutosi a Bratislava nel 25-29 July 2005.
Nonlinear oscillations of completely resonant wave equations
Berti, Massimiliano
2007
Abstract
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.File in questo prodotto:
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