Atribución-NoComercial 4.0 InternacionalCastro, AlfonsoChang, Chen2019-06-282019-06-282010https://repositorio.unal.edu.co/handle/unal/39798We characterize the {\it Fucik spectrum} (see \cite{fucik}) of a class selfadjoint operators. Our characterization relies on Lyapunov-Schmidt reduction arguments. We use this characterization to establish the existence of solutions for a semilinear wave equation. This work has been motivated by the authors' results in \cite{chcastro1} where one dimensional second order ordinary differential equations are studied.application/pdfspaDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/A variational characterization of the fucik spectrum and applicationsArtÃculo de revistahttp://bdigital.unal.edu.co/29895/info:eu-repo/semantics/openAccessFucik spectrumSaddle point principleAsymptotic behavior35J2035J2535J60