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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	1153-1165
Nombre de pages	13
journal	Proceedings of the American Mathematical Society
Volume	150
Numéro de publication	3
Les DOIs	https://doi.org/10.1090/proc/15727
état	Publié - 1 janv. 2022
Modification externe	Oui

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10.1090/proc/15727

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title = "Reifenberg Flatness For Almost Minimizers Of The Perimeter Under Minimal Assumptions",

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.",

keywords = "Almost minimizers, Measure theoretical perimeter, Reifenberg flatness",

author = "Michael Goldman and Matteo Novaga and Berardo Ruffini",

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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

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KW - Reifenberg flatness

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DO - 10.1090/proc/15727

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Reifenberg Flatness For Almost Minimizers Of The Perimeter Under Minimal Assumptions

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