Skip to main content
  • Research Article
  • Open access
  • Published:

Existence and comparison results for variational-hemivariational inequalities


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.

Author information

Authors and Affiliations


Corresponding author

Correspondence to S Carl.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Carl, S. Existence and comparison results for variational-hemivariational inequalities. J Inequal Appl 2005, 402086 (2005).

Download citation

  • Received:

  • Published:

  • DOI: