p-Laplacian problems where the nonlinearity crosses an eigenvalue

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Abstract

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

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

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