Abstract
First we examine a resonant variational inequality driven by the -Laplacian and with a nonsmooth potential. We prove the existence of a nontrivial solution. Then we use this existence theorem to obtain nontrivial positive solutions for a class of resonant elliptic equations involving the -Laplacian and a nonsmooth potential. Our approach is variational based on the nonsmooth critical point theory for functionals of the form with locally Lipschitz and proper, convex, lower semicontinuous.
Citation
Michael E. Filippakis. Nikolaos S. Papageorgiou. "Solutions for nonlinear variational inequalities with a nonsmooth potential." Abstr. Appl. Anal. 2004 (8) 635 - 649, 10 August 2004. https://doi.org/10.1155/S1085337504312017
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