Infinitely Many Solutions for Perturbed Hemivariational Inequalities. (6th December 2010)

• Record Type: Journal Article
• Authors: D'Aguì, Giuseppina; Molica Bisci, Giovanni
• Other Names: Manasevich Raul F. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-12-06
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/363518
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving thep -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.