On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces
Abstract
We are concerned in this article with an existence theorem for variational inequalities in nonre exive Banach spaces with a general coercivity condition. The variational inequalities contain multivalued generalized pseudomonotone mappings and convex functionals, the nonre exive Banach spaces form a complementary system, and the coercivity condition involves both the mapping and the functional. As an application, we study second-order elliptic variational inequalities with multivalued lower-order terms in general Orlicz-Sobolev spaces.
Recommended Citation
V. K. Le, "On the Existence of Solutions of Variational Inequalities in Nonreflexive Banach Spaces," Banach Journal of Mathematical Analysis, vol. 13, no. 2, pp. 293 - 313, Tusi Mathematical Research Group (TMRG), Jan 2019.
The definitive version is available at https://doi.org/10.1215/17358787-2018-0034
Department(s)
Mathematics and Statistics
Keywords and Phrases
Multival- ued mapping; Nonre exive Banach space; Orlicz-Sobolev space; Variational inequality
International Standard Serial Number (ISSN)
1735-8787
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2019 Tusi Mathematical Research Group (TMRG), All rights reserved.
Publication Date
01 Jan 2019
