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/