Isoperimetric Regions in Rnwith Density rp

Wyatt Boyer; Bryan Brown; Gregory R. Chambers; Alyssa Loving; Sarah Tammen

Analysis and Geometry in Metric Spaces (2016)

  • Volume: 4, Issue: 1, page 236-265, electronic only
  • ISSN: 2299-3274

Abstract

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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.

How to cite

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Wyatt Boyer, et al. "Isoperimetric Regions in Rnwith Density rp." Analysis and Geometry in Metric Spaces 4.1 (2016): 236-265, electronic only. <http://eudml.org/doc/286743>.

@article{WyattBoyer2016,
abstract = {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.},
author = {Wyatt Boyer, Bryan Brown, Gregory R. Chambers, Alyssa Loving, Sarah Tammen},
journal = {Analysis and Geometry in Metric Spaces},
keywords = {Isoperimetric; density; isoperimetric regions; balls},
language = {eng},
number = {1},
pages = {236-265, electronic only},
title = {Isoperimetric Regions in Rnwith Density rp},
url = {http://eudml.org/doc/286743},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Wyatt Boyer
AU - Bryan Brown
AU - Gregory R. Chambers
AU - Alyssa Loving
AU - Sarah Tammen
TI - Isoperimetric Regions in Rnwith Density rp
JO - Analysis and Geometry in Metric Spaces
PY - 2016
VL - 4
IS - 1
SP - 236
EP - 265, electronic only
AB - 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.
LA - eng
KW - Isoperimetric; density; isoperimetric regions; balls
UR - http://eudml.org/doc/286743
ER -

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