p-Laplacian problems where the nonlinearity crosses an eigenvalue

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April 2005, 13(3): 743-753. doi: 10.3934/dcds.2005.13.743

p-Laplacian problems where the nonlinearity crosses an eigenvalue

Kanishka Perera ^1, and Andrzej Szulkin ^2,

1.	Department of Mathematical Sciences, Florida Institute of Technology, 150 W University Blvd, Melbourne, FL 32901, United States
2.	Department of Mathematics, Stockholm University, 106 91 Stockholm, Sweden

Received September 2004 Revised March 2005 Published May 2005

Abstract
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Using linking arguments and a cohomological index theory we obtain nontrivial solutions of $p$-Laplacian problems with nonlinearities that interact with the spectrum.

Keywords: linking., p-Laplacian, cohomological index.

Mathematics Subject Classification: Primary: 35J60; Secondary: 34B15, 47J3.

Citation: Kanishka Perera, Andrzej Szulkin. p-Laplacian problems where the nonlinearity crosses an eigenvalue. Discrete & Continuous Dynamical Systems - A, 2005, 13 (3) : 743-753. doi: 10.3934/dcds.2005.13.743

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