We present recent existence results of Cantor families of small amplitude periodic solutions for completely resonant nonlinear wave equations. The proofs rely on the Nash-Moser implicit function theory and variational methods.
Cantor families of periodic solutions in wave equations / Berti, Massimiliano; P., Bolle. - In: FRONTIERS OF MATHEMATICS IN CHINA. - ISSN 1673-3452. - STAMPA. - 3:(2008), pp. 151-165. (Intervento presentato al convegno International Conference on Variational Methods tenutosi a Tianjin, China. nel 20-26 May, 2007.) [10.1007/s11464-008-0011-3].
Cantor families of periodic solutions in wave equations
BERTI, MASSIMILIANO;
2008
Abstract
We present recent existence results of Cantor families of small amplitude periodic solutions for completely resonant nonlinear wave equations. The proofs rely on the Nash-Moser implicit function theory and variational methods.File in questo prodotto:
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