Multi-Valued Variational Equations
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.
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
Mathematics and Statistics
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03 Mar 2021