@article{fdc5dffa-f4ef-4165-a239-6db1f2ae72ea, author = {Sylwia Barnaƛ}, title = {Existence Result for Differential Inclusion with p(x)-Laplacian}, journal = {Schedae Informaticae}, volume = {2012}, number = {Volume 21}, year = {2012}, issn = {1732-3916}, pages = {41-54},keywords = {p(x)-Laplacian; Palais-Smale condition; mountain pass theorem; variable exponent Sobolev space}, 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 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}, doi = {10.4467/20838476SI.12.003.0813}, url = {https://ejournals.eu/en/journal/schedae-informaticae/article/existence-result-for-differential-inclusion-with-p-x-laplacian} }