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Analysis and Geometry in Metric Spaces

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Isoperimetric Regions in Rn with Density rp

Wyatt Boyer / Bryan Brown / Gregory R. Chambers / Alyssa Loving / Sarah Tammen
Published Online: 2016-09-20 | DOI: https://doi.org/10.1515/agms-2016-0009


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.

Keywords: Isoperimetric; density


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About the article

Received: 2015-07-21

Accepted: 2016-08-07

Published Online: 2016-09-20

Citation Information: Analysis and Geometry in Metric Spaces, Volume 4, Issue 1, ISSN (Online) 2299-3274, DOI: https://doi.org/10.1515/agms-2016-0009.

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© 2016 W. Boyer et al.. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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Frank Morgan
The Mathematical Intelligencer, 2017, Volume 39, Number 4, Page 2

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