A Variational Characterization of the Fucik Spectrum and Applications
Alfonso Castro, Chen Chung Chang · Repositorio Institucional UN - Biblioteca Digital · 2010
We 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.