%0 Journal Article
%J Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 439-474
%D 2006
%T Forced vibrations of wave equations with non-monotone nonlinearities
%A Massimiliano Berti
%A Luca Biasco
%X We prove existence and regularity of periodic in time solutions of completely resonant nonlinear forced wave equations with Dirichlet boundary conditions for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. It turns out that the infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. We solve it via a minimization argument and a-priori estimate methods inspired to regularity theory of Rabinowitz.
%B Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 439-474
%G en_US
%U http://hdl.handle.net/1963/2160
%1 2084
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-02T09:35:53Z\\nNo. of bitstreams: 1\\n0410619v1.pdf: 401724 bytes, checksum: 1aeb5616e38d96fffc8efa0b0e6cdc14 (MD5)
%R 10.1016/j.anihpc.2005.05.004