We study a class of hemivariational inequalities with p(x)-Laplacian. Applying nonsmooth critical point theory for locally Lipschitz functions, we obtain the existence of solutions on interior and exterior domains.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-6, author = {Xia Zhang and Yongqiang Fu}, title = {Solutions for a class of hemivariational inequalities with p(x)-Laplacian}, journal = {Annales Polonici Mathematici}, volume = {95}, year = {2009}, pages = {273-288}, zbl = {1170.35046}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-6} }
Xia Zhang; Yongqiang Fu. Solutions for a class of hemivariational inequalities with p(x)-Laplacian. Annales Polonici Mathematici, Tome 95 (2009) pp. 273-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-6/