- Research Article
- Open Access
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.
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
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