We present recent existence results for small amplitude periodic and quasi-periodic solutions of completely resonant nonlinear wave equations. Both infinite-dimensional bifurcation phenomena and small divisors difficulties occur. The proofs rely on the bifurcation theory, the Nash-Moser implicit function theorem, dynamical systems techniques and variational methods.
Nonlinear vibrations of completely resonant wave equations / Berti, M.. - 77:(2007), pp. 49-60. (Intervento presentato al convegno Fixed point theoy and aaplications tenutosi a Bedlewo nel 1-5 agosto 2005) [10.4064/bc77-0-4].
Nonlinear vibrations of completely resonant wave equations.
Berti, M.
2007-01-01
Abstract
We present recent existence results for small amplitude periodic and quasi-periodic solutions of completely resonant nonlinear wave equations. Both infinite-dimensional bifurcation phenomena and small divisors difficulties occur. The proofs rely on the bifurcation theory, the Nash-Moser implicit function theorem, dynamical systems techniques and variational methods.File in questo prodotto:
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