Regularity of isoperimetric sets in R2 with density

No Thumbnail Available
Date
2015
Volume
Issue
Journal
Series Titel
Book Title
Publisher
Cambridge : arXiv
Link to publishers version
Abstract

We consider the isoperimetric problem in Rn with density for the planar case n=2. We show that, if the density is C0,α, then the boundary of any isoperimetric is of class C1,α3−2α. This improves the previously known regularity.

Description
Keywords
Collections
License
Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.