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 Three nontrivial solutions for the p-Laplacian with a nonsmooth potential
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5285

title: Three nontrivial solutions for the p-Laplacian with a nonsmooth potential
authors: Papageorgiou, Nikolaos
Santos, Sandrina Rafaela
Staicu, Vasile
keywords: Constant sign solution
Nonsmooth potential
(S)+-operator; Degree theory
Generalized subdifferential
p-Laplacian
issue date: 2008
publisher: Elsevier
abstract: We consider a nonlinear elliptic problem driven by the partial p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using variational techniques based on nonsmooth analysis and degree theoretic arguments for operators of the monotone type, we establish the existence of at least three distinct nontrivial smooth solutions.
URI: http://hdl.handle.net/10773/5285
ISSN: 0362-546X
source: Nonlinear Analysis: Theory, Methods and Applications
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