Topological Methods in Nonlinear Analysis

Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential

Sergiu Aizicovici, Nikolaos S. Papageorgiou, and Vasile Staicu

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We study periodic problems driven by the scalar $p$-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipschitz functions, we prove two existence theorems under conditions of resonance at infinity with respect to the first two eigenvalues of the negative scalar $p$-Laplacian with periodic boundary conditions.

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Topol. Methods Nonlinear Anal., Volume 27, Number 2 (2006), 269-288.

First available in Project Euclid: 13 May 2016

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Aizicovici, Sergiu; Papageorgiou, Nikolaos S.; Staicu, Vasile. Resonant nonlinear periodic problems with the scalar $p$-Laplacian and a nonsmooth potential. Topol. Methods Nonlinear Anal. 27 (2006), no. 2, 269--288.

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