Title

On the Existence of Nontrivial Solutions of Inequalities in Orlicz-Sobolev Spaces

Editor(s)

Lu, Xin

Abstract

This paper is about an alternate variational inequality formulation for the boundary value problem −div(a(|∇u|)∇u)+∂uG(x,u)∋0 in Ω,u=0 on ∂Ω, where the principal part may have non-polynomial or very slow growth. As a consequence of this formulation, we can apply abstract nonsmooth linking theorems to study the existence and multiplicity of nontrivial solutions to the above problem.

Department(s)

Mathematics and Statistics

Keywords and Phrases

nonsmooth functional; Mountain Pass theorem; Palais-Smale condition; Orlicz-Sobolev space

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 American Institute of Mathematical Sciences (AIMS), All rights reserved.


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