A Variational Characterization of the Fucik Spectrum and Applications

Publicado

2010-01-01

A Variational Characterization of the Fucik Spectrum and Applications

Palabras clave:

Fucik spectrum, Saddle point principle, Asymptotic behavior (es)

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Autores/as

Alfonso Castro Harvey Mudd College
Chen Chang University of Texas at San Antonio

Resumen (en)

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.