Constraint Maps and Free Boundaries
Alessio Figalli, André Guerra, Sunghan Kim, Henrik Shahgholian · Notices of the American Mathematical Society · 2025
In this survey we will focus on a specific but remarkably ubiquitous family of free boundary problems, those of obstacle-type. We will recount the historical development of the topic together with more recent advances, focusing in particular on vector-valued variational problems with constraints.