We prove multiplicity of small amplitude periodic solutions, with fixed frequency, of completely resonant wave equations with general nonlinearities. The proofs are based on a variational Lyapunov–Schmidt reduction and minimax arguments.
Multiplicity of periodic solutions of nonlinear wave equations / Berti, Massimiliano; P., Bolle. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 56:(2004), pp. 1011-1046. [10.1016/j.na.2003.11.001]
Multiplicity of periodic solutions of nonlinear wave equations
BERTI, MASSIMILIANO;
2004
Abstract
We prove multiplicity of small amplitude periodic solutions, with fixed frequency, of completely resonant wave equations with general nonlinearities. The proofs are based on a variational Lyapunov–Schmidt reduction and minimax arguments.File in questo prodotto:
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