Calculus of Variations and Geometric Measure Theory

A. Figalli - H. Shahgholian

An overview of unconstrained free boundary problems

created by figalli on 28 Jan 2015
modified on 03 Jul 2015


Accepted Paper

Inserted: 28 jan 2015
Last Updated: 3 jul 2015

Journal: Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.
Year: 2015


In this paper we present a survey concerning unconstrained free boundary problems. Our main objective is to discuss a unifying approach to the optimal regularity of solutions to the matching problems, and list several open problems in this direction.