Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843945 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 26 Pages |
Abstract
In this paper we consider a scalar periodic problem driven by the ordinary pp-Laplacian differential operator and having a nonsmooth potential. Using a variational method based on nonsmooth critical point theory, first we prove the existence of a strictly positive solution. Then by strengthening our hypotheses on the nonsmooth potential, we prove the existence of a second periodic solution.
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Authors
Zdzisław Denkowski, Leszek Gasiński, Nikolaos S. Papageorgiou,