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ScientificWorldJournal. 2013 Dec 24;2013:753262. doi: 10.1155/2013/753262. eCollection 2013.

Multiple solutions for nonhomogeneous neumann differential inclusion problems by the p(x)-Laplacian.

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1
Library, Northeast Forestry University, Harbin 150040, China.

Abstract

A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two nontrivial solutions.

PMID:
24453903
PMCID:
PMC3886597
DOI:
10.1155/2013/753262
[Indexed for MEDLINE]
Free PMC Article
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