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Infinitely Many Solutions for Perturbed Hemivariational Inequalities

Boundary Value Problems volume 2010, Article number: 363518 (2010) Cite this article

Abstract

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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Authors and Affiliations

  1. DIMET, Faculty of Engineering, University of Reggio Calabria, 89125, Reggio Calabria, Italy

    Giuseppina D'Aguì

  2. DiSIA, Faculty of Engineering, University of Messina, 98122, Messina, Italy

    Giuseppina D'Aguì

  3. Department P.A.U., Architecture Faculty, University of Reggio Calabria, 89100, Reggio Calabria, Italy

    Giovanni Molica Bisci

Authors
  1. Giuseppina D'Aguì
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  2. Giovanni Molica Bisci
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Correspondence to Giovanni Molica Bisci.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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D'Aguì, G., Molica Bisci, G. Infinitely Many Solutions for Perturbed Hemivariational Inequalities. Bound Value Probl 2010, 363518 (2010). https://doi.org/10.1155/2010/363518

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  • DOI: https://doi.org/10.1155/2010/363518

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
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