TY - JOUR
T1 - Bifurcation of free vibrations for completely resonant wave equations
JF - Boll. Unione Mat. Ital. Sez. B 7 (2004) 519-528
Y1 - 2004
A1 - Massimiliano Berti
A1 - Philippe Bolle
AB - We prove existence of small amplitude, 2 pi/omega -periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency omega belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.
UR - http://hdl.handle.net/1963/2245
U1 - 1999
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -