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Title: Three nontrivial solutions for the p-Laplacian with a nonsmooth potential
Author: Papageorgiou, Nikolaos
Santos, Sandrina Rafaela
Staicu, Vasile
Keywords: Constant sign solution
Nonsmooth potential
Generalized subdifferential
Degree theory
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.
Peer review: yes
DOI: 10.1016/
ISSN: 0362-546X
Appears in Collections:DMat - Artigos

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