Boundary Value Problems
Volume 2010 (2010), Article ID 363518, 19 pages
doi:10.1155/2010/363518
Research Article

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Giuseppina D'Aguì1,2 and Giovanni Molica Bisci3

1DIMET, Faculty of Engineering, University of Reggio Calabria, 89125 Reggio Calabria, Italy
2DiSIA, Faculty of Engineering, University of Messina, 98122 Messina, Italy
3Department P.A.U., Architecture Faculty, University of Reggio Calabria, 89100 Reggio Calabria, Italy

Received 8 September 2010; Accepted 28 November 2010

Academic Editor: Raul F. Manasevich

Copyright © 2010 Giuseppina D'Aguì and Giovanni Molica Bisci. 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.

Abstract

We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the p-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.