Multi-Valued Elliptic Variational Inequalities on Convex Sets

Author

Siegfried Carl
Vy Khoi Le, Missouri University of Science and TechnologyFollow

Abstract

This chapter deals with general multi-valued elliptic variational inequalities of the abstract form where L ∈ X∗ and the constraints are given by closed convex sets K ⊂ X. Here the sub-supersolution method is developed in its full generality to treat problems that lack coercivity and to prove the existence of extremal solutions which require the elaboration of new and subtle techniques.

Recommended Citation

S. Carl and V. K. Le, "Multi-Valued Elliptic Variational Inequalities on Convex Sets," Springer Monographs in Mathematics, pp. 165 - 285, Springer, Mar 2021.

The definitive version is available at https://doi.org/10.1007/978-3-030-65165-7_4

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

1439-7382

Document Type

Book - Chapter

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Springer, All rights reserved.

Publication Date

03 Mar 2021