Research Article
Infinitely Many Solutions for Perturbed Hemivariational Inequalities
Author affiliations
1 DIMET, Faculty of Engineering, University of Reggio Calabria, 89125 Reggio Calabria, Italy
2 DiSIA, Faculty of Engineering, University of Messina, 98122 Messina, Italy
3 Department P.A.U., Architecture Faculty, University of Reggio Calabria, 89100 Reggio Calabria, Italy
Citation and License
Boundary Value Problems 2010, 2010:363518 doi:10.1155/2010/363518
Published: 6 December 2010Abstract
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.
