Calculus of Variations and Geometric Measure Theory

C. De Lellis

The regularity theory for the area functional (in geometric measure theory)

created by delellis on 21 Oct 2021
modified on 06 Jan 2022



Inserted: 21 oct 2021
Last Updated: 6 jan 2022

Year: 2021

To appear in the Proceedings of the ICM


The aim of this article is to give a rather extensive, and yet nontechnical, account of the birth of the regularity theory for generalized minimal surfaces, of its various ramifications along the decades, of the most recent developments, and of some of the remaining challenges.