Title of article
Existence of positive and of multiple solutions for nonlinear periodic problems Original Research Article
Author/Authors
Zdzis?aw Denkowski، نويسنده , , Leszek Gasinski، نويسنده , , Nikolaos S. Papageorgiou، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
26
From page
2289
To page
2314
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
Keywords
Clarke subdifferential , Nonsmooth Cerami condition , Generalized nonsmooth Palais–Smale condition , Nonsmooth Mountain Pass Theorem , Locally Lipschitz functions , Local minimum
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2007
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
859665
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