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.
Goldman, M., Novaga, M., Ruffini, B. (2022). REIFENBERG FLATNESS FOR ALMOST MINIMIZERS OF THE PERIMETER UNDER MINIMAL ASSUMPTIONS. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 150(3), 1153-1165 [10.1090/proc/15727].
REIFENBERG FLATNESS FOR ALMOST MINIMIZERS OF THE PERIMETER UNDER MINIMAL ASSUMPTIONS
Ruffini, B
2022
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
gnr_regularitynote_revised.pdf
accesso aperto
Tipo:
Postprint
Licenza:
Licenza per accesso libero gratuito
Dimensione
445.35 kB
Formato
Adobe PDF
|
445.35 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
