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arXiv · 2104.09851

Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions

Michael Goldman·Matteo Novaga·Berardo Ruffini
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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.

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Michael Goldman, Matteo Novaga, Berardo Ruffini. 2021-04-20. Reifenberg flatness for almost-minimizers of the perimeter under minimal assumptions. https://arxiv.org/abs/2104.09851

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