@Article{Barnaś2012, author = "Barnaś, Sylwia", title = "Existence result for hemivariational inequality involving p(x)-Laplacian", journal = "Opuscula Math.", year = "2012", volume = "32", number = "3", pages = "439--454", doi = "http://dx.doi.org/10.7494/OpMath.2012.32.3.439", url = "http://dx.doi.org/10.7494/OpMath.2012.32.3.439", abstract = "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].", keywords = "\(p(x)\)-Laplacian, Palais-Smale condition, mountain pass theorem, variable exponent Sobolev space", issn = "1232-9274" }