Existence result for hemivariational inequality involving p(x)-Laplacian

Existence result for hemivariational inequality involving p(x)-Laplacian

In this paper we study the nonlinear elliptic problem with \(p(x)\)-Laplacian (hemivariational inequality).We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102–129].

Bibliographic Details
Main Author:	Sylwia Barnaś
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2012-01-01
Series:	Opuscula Mathematica
Subjects:	\(p(x)\)-Laplacian Palais-Smale condition mountain pass theorem variable exponent Sobolev space
Online Access:	http://www.opuscula.agh.edu.pl/vol32/3/art/opuscula_math_3230.pdf

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