We prove the existence of solutions to the nonlinear problem
where the point is a point of the Fucik spectrum and the nonlinearity satisfies a potential Landesman-Lazer type condition. We use a variational method based on the generalization of the Saddle Point Theorem.
Submitted November 26, 2004. Published August 29, 2005.
Math Subject Classifications: 35J70, 58E05, 49B27.
Key Words: Resonance; eigenvalue; jumping nonlinearities; Fucik spectrum.
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| Petr Tomiczek |
Department of Mathematics
University of West Bohemia
Univerzitni 22, 306 14 Plzen, Czech Republic
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