Open Access 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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Citation and License

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

Published: 6 December 2010

Abstract

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.