Infinitely Many Solutions for Perturbed Hemivariational InequalitiesReport as inadecuate

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Boundary Value Problems

, 2010:363518

First Online: 06 December 2010Received: 08 September 2010Accepted: 28 November 2010


We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the Open image in new window-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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Author: Giuseppina D-Aguì - Giovanni Molica Bisci



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