Multi-Valued Variational Equations

Author

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

Abstract

The aim of this chapter is to become acquainted with multi-valued pseudomonotone operators and to prove existence and enclosure results for the above multi-valued equations based on a straightforward extension of the notion of sub-supersolutions known for corresponding single-valued equations. This way the reader will be prepared for the more advanced study of multi-valued variational inequalities presented in Chapter 4. Applications to the existence of multiple and sign-changing solutions, to multi-valued equations with discontinuous multi-valued lower order bi-functions, and to generalized hemivariational inequalities are studied.

Recommended Citation

S. Carl and V. K. Le, "Multi-Valued Variational Equations," Springer Monographs in Mathematics, pp. 75 - 163, Springer, Mar 2021.

The definitive version is available at https://doi.org/10.1007/978-3-030-65165-7_3

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