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
2007-01-01
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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