Title

Extremal Solutions in Systems of Variational Inequalities with Multivalued Mappings

Abstract

In this paper, we use a sub-supersolution method to study systems of variational inequalities of the form: (Formula presented), where 𝓐k and 𝓕k are multivalued mappings with possibly non-power growths and Kk is a closed, convex set. We introduce a concept of mixed extremal solutions in the set-theoretic sense and prove the existence of such solutions between sub- and supersolutions. We also show the existence of least and greatest solutions of the above system between sub- and supersolutions if the lower order terms have certain increasing properties.

Department(s)

Mathematics and Statistics

Comments

Article in press

Keywords and Phrases

C. Siegfried; extremal solution; multivalued mapping; Orlicz-Sobolev space; sub-supersolution; System of variational inequalities

International Standard Serial Number (ISSN)

0003-6811; 1563-504X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

Β© 2019 Taylor & Francis Ltd., All rights reserved.

Publication Date

01 May 2019

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