Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/5288
Title: | A multiplicity theorem for hemivariational inequalities with a p-Laplacian-like differential operator |
Author: | Papageorgiou, Nikolaos Rocha, Eugénio Staicu, Vasile |
Keywords: | p-Laplacian-type operator Multivalued (S)+-operator Locally Lipschitz function Generalized and convex subdifferentials PS-condition Mountain pass theorem Multiple solutions |
Issue Date: | 2008 |
Publisher: | Elsevier |
Abstract: | We consider a parametric nonlinear elliptic inclusion with a multivalued p-Laplacian-like differential operator and a nonsmooth potential (hemivariational inequality). Using a variational approach based on the nonsmooth critical point theory, we show that for all the values of the parameter in an open half-line, the problem admits at least two nontrivial solutions. Our result extends a recent one by Kristály, Lisei, and Varga [A. Kristály, H. Lisei, C. Varga, Multiple solutions for p-Laplacian type operator, Nonlinear Anal. 68 (5) (2008) 1375–1381]. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5288 |
ISSN: | 0362-546X |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P33_NonlinAnal_69(2008)_1150-1163.pdf | 325.94 kB | Adobe PDF |
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