Existence and multiplicity results for quasilinear hemivariational inequalities at resonance

✍ Scribed by Leszek Gasiński

• Publisher: John Wiley and Sons
• Year: 2008
• Tongue: English
• Weight: 204 KB
• Volume: 281
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200510710

✦ Synopsis

Abstract

In this paper we consider quasilinear hemivariational inequality at resonance. We prove existence results for strongly resonant quasilinear problem, resonant problem under a Tang‐type condition as well as two multiplicity results. The method of the proofs is based on the nonsmooth critical point theory for locally Lipschitz functions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)