Open Access

Existence results for nonlocal and nonsmooth hemivariational inequalities

Journal of Inequalities and Applications20062006:79532

DOI: 10.1155/JIA/2006/79532

Received: 4 May 2005

Accepted: 10 May 2005

Published: 28 February 2006


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.


Authors’ Affiliations

Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg
Department of Mathematical Sciences, University of Oulu


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© S. Carl and S. Heikkilä. 2006

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