The regularity theory for the area functional (in geometric measure theory)
Analysis of PDEs
2022-01-10 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2110.11324,
title = {The regularity theory for the area functional (in geometric measure theory)},
author = {Camillo De Lellis},
journal= {arXiv preprint arXiv:2110.11324},
year = {2022}
}
Comments
To appear in the Proceedings of the ICM