Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions

Abstract

In this paper, we study multi-valued quasilinear elliptic variational inequalities of the form (Formula presented.) in all of (Formula presented.) as well as in the exterior domain (Formula presented.), where (Formula presented.) is the p-Laplacian, K is a closed convex subset of the Beppo-Levi space (Formula presented.) with 1

Department(s)

Mathematics and Statistics

Keywords and Phrases

Beppo–Levi space; comparison; extremal solution; upper semicontinuous multi-valued mapping; Variational inequality; variational-hemivariational inequalities

International Standard Serial Number (ISSN)

1563-504X; 0003-6811

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 2023

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