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.
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.