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.
2023
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].
Cinti E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/961605
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