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Existence of three nontrivial solutions for nonlinear Neumann hemivariational inequalities

โœ Scribed by Antonio Iannizzotto; Nikolaos S. Papageorgiou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
701 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper we consider a nonlinear Neumann problem driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Using minimax methods based on the nonsmooth critical point theory together with suitable truncation techniques, we show that the problem has at least three nontrivial smooth solutions. Two of these solutions have constant sign (one is positive, the other negative).

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