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

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Abstract

We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the -Laplacian. We show that an appropriate oscillating behaviour of the nonlinear part, even under small perturbations, ensures the existence of infinitely many solutions. The main tool in order to obtain our abstract results is a recent critical-point theorem for nonsmooth functionals.

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giovanni Molica Bisci.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), 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

D'Aguì, G., Molica Bisci, G. Infinitely Many Solutions for Perturbed Hemivariational Inequalities. Bound Value Probl 2010, 363518 (2010). https://doi.org/10.1155/2010/363518

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2010/363518

Keywords