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 for completely resonant wave equations / Berti, M.; Bolle, P.. - In: FRONTIERS OF MATHEMATICS IN CHINA. - ISSN 1673-3452. - 3:2(2008), pp. 151-165. [10.1007/s11464-008-0011-3]
Cantor families of periodic solutions for completely resonant wave equations
Berti, M.;
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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