Calculus of Variations and Geometric Measure Theory

A. Figalli

Free boundary regularity in obstacle problems

created by figalli on 25 Jun 2018
modified on 03 Jul 2018


Lecture Notes

Inserted: 25 jun 2018
Last Updated: 3 jul 2018

Year: 2018


These notes record and expand the lectures for the ''Journées Équations aux Dérivées Partielles 2018'' held by the author during the week of June 11-15, 2018. The aim is to give a overview of the classical theory for the obstacle problem, and then present some recent developments on the regularity of the free boundary.