# American Institute of Mathematical Sciences

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

## p-Laplacian problems where the nonlinearity crosses an eigenvalue

 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

Using linking arguments and a cohomological index theory we obtain nontrivial solutions of $p$-Laplacian problems with nonlinearities that interact with the spectrum.
Citation: Kanishka Perera, Andrzej Szulkin. p-Laplacian problems where the nonlinearity crosses an eigenvalue. Discrete & Continuous Dynamical Systems, 2005, 13 (3) : 743-753. doi: 10.3934/dcds.2005.13.743
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