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.
Proceedings of Equadiff 11, Proceedings of minisymposia and contributed talks
9
16
9788022726245
Czecho-Slovak series
Berti, Massimiliano
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/15309
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact