Isoperimetric Regions in Rn with Density rp

Isoperimetric Regions in Rn with Density rp

We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.

Bibliographic Details
Main Authors: Boyer Wyatt, Brown Bryan, Chambers Gregory R., Loving Alyssa, Tammen Sarah
Format: Article
Language:English
Published: De Gruyter 2016-09-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
isoperimetric
density
Online Access:https://doi.org/10.1515/agms-2016-0009
Description
Summary:We show that the unique isoperimetric regions in Rn with density rp for n ≥ 3 and p > 0 are balls with boundary through the origin.
ISSN:2299-3274

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