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 12 Apr 2026

[BibTeX]

Proceedings

Inserted: 21 oct 2021
Last Updated: 12 apr 2026

Journal: ICM-International Congress of Mathematicians. Pleary lectures.
Volume: 2
Pages: 872-913
Year: 2023
Notes:

To appear in the Proceedings of the ICM


Abstract:

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.


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