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Isoperimetric Regions in Rnwith Density rp

Wyatt Boyer; Bryan Brown; Gregory R. Chambers; Alyssa Loving; Sarah Tammen — 2016

Analysis and Geometry in Metric Spaces

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.

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