Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 79532, 13 pages
Existence results for nonlocal and nonsmooth hemivariational inequalities
1Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle 06099, Germany
2Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Finland
Received 4 May 2005; Accepted 10 May 2005
Copyright © 2006 S. Carl and S. Heikkilä. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider an elliptic hemivariational inequality with nonlocal
nonlinearities. Assuming only certain growth conditions on the
data, we are able to prove existence results for the problem under
consideration. In particular, no continuity assumptions are
imposed on the nonlocal term. The proofs rely on a combined use of
recent results due to the authors on hemivariational inequalities
and operator equations in partially ordered sets.