Infinitely Many Solutions for Perturbed Hemivariational Inequalities
© Giuseppina D'Aguì and Giovanni Molica Bisci. 2010
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.
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