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Open Access Open Badges Research Article

Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Giuseppina D'Aguì12 and Giovanni Molica Bisci3*

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

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Boundary Value Problems 2010, 2010:363518  doi:10.1155/2010/363518

The electronic version of this article is the complete one and can be found online at: http://www.boundaryvalueproblems.com/content/2010/1/363518

Received:8 September 2010
Accepted:28 November 2010
Published:6 December 2010

© 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.

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