Three nontrivial solutions for the p-Laplacian with a nonsmooth potential

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 t...

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Bibliographic Details
Main Author: Papageorgiou, Nikolaos (author)
Other Authors: Santos, Sandrina Rafaela (author), Staicu, Vasile (author)
Format: article
Language:eng
Published: 1000
Subjects:
Constant sign solution
Nonsmooth potential
(S)+-operator
Generalized subdifferential
p-Laplacian
Degree theory
Online Access:http://hdl.handle.net/10773/5285
Country:Portugal
Oai:oai:ria.ua.pt:10773/5285
Description
Summary: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.

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