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

Papageorgiou, Nikolaos
Santos, Sandrina Rafaela
Staicu, Vasile

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DOI

10.1016/j.na.2007.04.021

Publisher

Elsevier BV

ISSN

0362-546X

Journal

Nonlinear Analysis

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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.Universidade de AveiroFCTFEDER POCTI/MAT/55524/200

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

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

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