Reifenberg Flatness For Almost Minimizers Of The Perimeter Under Minimal Assumptions

Michael Goldman; Matteo Novaga; Berardo Ruffini

doi:10.1090/proc/15727

Reifenberg Flatness For Almost Minimizers Of The Perimeter Under Minimal Assumptions

Michael Goldman
, Matteo Novaga
, Berardo Ruffini

UPMC Université de Paris VI
University of Pisa
University of Bologna

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1153-1165
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	3
DOIs	https://doi.org/10.1090/proc/15727
Publication status	Published - 1 Jan 2022
Externally published	Yes

Keywords

Almost minimizers
Measure theoretical perimeter
Reifenberg flatness

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10.1090/proc/15727

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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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AB - 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.

KW - Almost minimizers

KW - Measure theoretical perimeter

KW - Reifenberg flatness

U2 - 10.1090/proc/15727

DO - 10.1090/proc/15727

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Reifenberg Flatness For Almost Minimizers Of The Perimeter Under Minimal Assumptions

Abstract

Keywords

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