Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions
Analysis of PDEs
2021-06-18 v2
Abstract
The aim of this note is to prove that almost-minimizers of the perimeter are Reifenberg flat, for a very weak notion of minimality. The main observation is that smallness of the excess at some scale implies smallness of the excess at all smaller scales.
Cite
@article{arxiv.2104.09851,
title = {Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions},
author = {Michael Goldman and Matteo Novaga and Berardo Ruffini},
journal= {arXiv preprint arXiv:2104.09851},
year = {2021}
}