Existence of Positive Solutions for Nonlinear Noncoercive Hemivariational Inequalities

• Autores: Michael E. Filippakis, Nikolaos S. Papageorgiou
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 3, 2007, págs. 356-364
• Idioma: inglés
• DOI: 10.4153/cmb-2007-034-6
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• Resumen

  • In this paper we investigate the existence of positive solutions for nonlinear elliptic problems driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality). Under asymptotic conditions that make the Euler functional indefinite and incorporate in our framework the asymptotically linear problems, using a variational approach based on nonsmooth critical point theory, we obtain positive smooth solutions. Our analysis also leads naturally to multiplicity results.