On Second Order Elliptic Equations and Variational Inequalities with Anisotropic Principal Operators
Abstract
This paper is about boundary value problems of the form where ƨ is a convex function of ξ.∈ RN rather than a function of the norm|ξ|. The problem is formulated appropriately in an anisotropic Orlicz-Sobolev space associated with ƨ. We study the existence of solutions and some other properties of the above problem and its corresponding variational inequality in such space.
Recommended Citation
V. K. Le, "On Second Order Elliptic Equations and Variational Inequalities with Anisotropic Principal Operators," Topological Methods in Nonlinear Analysis, vol. 44, no. 1, pp. 41 - 72, Juliusz Schauder Centre for Nonlinear Studies; Nicolaus Copernicus University in Toruń, Sep 2014.
The definitive version is available at https://doi.org/10.12775/tmna.2014.035
Department(s)
Mathematics and Statistics
Keywords and Phrases
Anisotropic Orlicz-Sobolev space; Inclusion; Multivalued mapping; Variational inequality
International Standard Serial Number (ISSN)
1230-3429
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Juliusz Schauder Centre for Nonlinear Studies; Nicolaus Copernicus University in Toruń, All rights reserved.
Publication Date
01 Sep 2014
