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.
Recommended Citation
V. K. Le, "On the Existence of Nontrivial Solutions of Inequalities in Orlicz-Sobolev Spaces," Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences (AIMS), Jan 2012.
The definitive version is available at https://doi.org/10.3934/dcdss.2012.5.809
Department(s)
Mathematics and Statistics
Keywords and Phrases
nonsmooth functional; Mountain Pass theorem; Palais-Smale condition; Orlicz-Sobolev space
International Standard Serial Number (ISSN)
1937-1632
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 American Institute of Mathematical Sciences (AIMS), All rights reserved.
Publication Date
01 Jan 2012
