Multi-Valued Elliptic Variational Inequalities on Convex Sets

Siegfried Carl; Vy Khoi Le

doi:10.1007/978-3-030-65165-7_4

Multi-Valued Elliptic Variational Inequalities on Convex Sets

Siegfried Carl
, Vy Khoi Le

Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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.

Original language	American English
Title of host publication	Springer Monographs in Mathematics
DOIs	https://doi.org/10.1007/978-3-030-65165-7_4
State	Published - Mar 3 2021

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Mathematics
Statistics and Probability

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https://doi.org/10.1007/978-3-030-65165-7_4

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AB - 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.

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UR - https://doi.org/10.1007/978-3-030-65165-7_4

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M3 - Chapter

BT - Springer Monographs in Mathematics

ER -

Multi-Valued Elliptic Variational Inequalities on Convex Sets

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