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  • Research Article
  • Open Access

Existence results for nonlocal and nonsmooth hemivariational inequalities

Journal of Inequalities and Applications20062006:79532

  • Received: 4 May 2005
  • Accepted: 10 May 2005
  • Published:


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.


  • Growth Condition
  • Recent Result
  • Existence Result
  • Operator Equation
  • Continuity Assumption


Authors’ Affiliations

Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle, 06099, Germany
Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014, Finland


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© S. Carl and S. Heikkilä. 2006

This article is published under license to BioMed Central Ltd. 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.