Infinitely Many Solutions for Perturbed Hemivariational Inequalities

  • Giuseppina D'Aguì1, 2 and

    Affiliated with

    • Giovanni Molica Bisci3Email author

      Affiliated with

      Boundary Value Problems20102010:363518

      DOI: 10.1155/2010/363518

      Received: 8 September 2010

      Accepted: 28 November 2010

      Published: 6 December 2010

      Abstract

      We deal with a perturbed eigenvalue Dirichlet-type problem for an elliptic hemivariational inequality involving the http://static-content.springer.com/image/art%3A10.1155%2F2010%2F363518/MediaObjects/13661_2010_Article_918_IEq1_HTML.gif -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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      Authors’ Affiliations

      (1)
      DIMET, Faculty of Engineering, University of Reggio Calabria
      (2)
      DiSIA, Faculty of Engineering, University of Messina
      (3)
      Department P.A.U., Architecture Faculty, University of Reggio Calabria

      Copyright

      © Giuseppina D'Aguì and Giovanni Molica Bisci. 2010

      This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.