Abstract
In this paper we study periodic problems driven by the scalar ordinary $p$-Laplacian and with a nonsmooth potential. Using degree theoretic methods based on a fixed-point index for nonconvex-valued multifunctions, we prove two existence theorems. In the first we employ nonuniform nonresonance conditions between two successive eigenvalues of the negative $p$-Laplacian with periodic boundary conditions. In the second we use Landesman-Lazer conditions.
Citation
Ravi P. Agarwal. Michael E. Filippakis. Donal O'Regan. Nikolaos S. Papageorgiou. "Degree theoretic methods in the study of nonlinear periodic problems with nonsmooth potentials." Differential Integral Equations 19 (3) 279 - 296, 2006. https://doi.org/10.57262/die/1356050514
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