Title

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.

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

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