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  • Research Article
  • Open Access

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Boundary Value Problems20102010:363518

Received: 8 September 2010

Accepted: 28 November 2010

Published: 6 December 2010


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.


Differential EquationPartial Differential EquationOrdinary Differential EquationFunctional EquationFull Article

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Authors’ Affiliations

DIMET, Faculty of Engineering, University of Reggio Calabria, Reggio Calabria, Italy
DiSIA, Faculty of Engineering, University of Messina, 98122Messina, Italy
Department P.A.U., Architecture Faculty, University of Reggio Calabria, Reggio Calabria, Italy


© Giuseppina D'Aguì and Giovanni Molica Bisci. 2010

This article is published under license to BioMed Central Ltd. 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.