In this note, we present some recent regularity results for sets which minimize a weighted notion of perimeter under a weighted volume constraint. We focus on the case of two different densities which are merely α-Hölder continuous, and describe what are the main issues and techniques used in order to establish the optimal regularity C1, α/2-α for the reduced boundary of such sets.
Cinti E. (2023). REGULARITY RESULTS FOR ISOPERIMETRIC SETS WITH DENSITY. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 14(2), 22-41 [10.6092/issn.2240-2829/18847].
REGULARITY RESULTS FOR ISOPERIMETRIC SETS WITH DENSITY
Cinti E.
2023
Abstract
In this note, we present some recent regularity results for sets which minimize a weighted notion of perimeter under a weighted volume constraint. We focus on the case of two different densities which are merely α-Hölder continuous, and describe what are the main issues and techniques used in order to establish the optimal regularity C1, α/2-α for the reduced boundary of such sets.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
18847-Article Text-74956-1-10-20231230.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
522.54 kB
Formato
Adobe PDF
|
522.54 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.