%0 Journal Article
%T Existence Result for Differential Inclusion with p(x)-Laplacian
%A Barnaś, Sylwia
%J Schedae Informaticae
%V 2012
%R 10.4467/20838476SI.12.003.0813
%N Volume 21
%P 41-54
%K p(x)-Laplacian, Palais-Smale condition, mountain pass theorem, variable exponent Sobolev space
%@ 1732-3916
%D 2012
%U https://ejournals.eu/en/journal/schedae-informaticae/article/existence-result-for-differential-inclusion-with-p-x-laplacian
%X 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 ChangIn 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