Abstract

CASTRO, ALFONSO  and  CHANG, CHEN. A Variational Characterization of the Fucik Spectrum and Applications. Rev.colomb.mat. [online]. 2010, vol.44, n.1, pp.23-40. ISSN 0034-7426.

We characterize the \it Fucik spectrum (see [7]) 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 [4] where one dimensional second order ordinary differential equations are studied.

Keywords : Fucik spectrum; Saddle point principle; Asymptotic behavior.

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