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  • Research Article
  • Open Access

Existence and comparison results for variational-hemivariational inequalities

Journal of Inequalities and Applications20052005:402086

  • Received: 18 June 2004
  • Published:


We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub- and supersolutions on the basis of which we then develop the sub-supersolution method for variational-hemivariational inequalities. Furthermore, we give an example to illustrate the abstract theory developed in this paper.

Authors’ Affiliations

Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle, 06099, Germany


© Carl 2005