$Isoperimetric Regions in $\mathbb{R}^n$ with density $r^p$

Isoperimetric Regions in $\mathbb{R}^n$ with density $r^p

Anal. Geom. Metr. Spaces 4 (2016), 236-265 We show that the unique isoperimetric hypersurfaces in $\mathbb{R}^n$ with density $r^p$ for $n \ge 3$ and $p>0$ are spheres that pass through the origin.

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Bibliographische Detailangaben
Hauptverfasser:	Boyer, Wyatt, Brown, Bryan, Chambers, Gregory R, Loving, Alyssa, Tammen, Sarah
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry
Online-Zugang:	Volltext bestellen
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Beschreibung
Zusammenfassung:	Anal. Geom. Metr. Spaces 4 (2016), 236-265 We show that the unique isoperimetric hypersurfaces in $\mathbb{R}^n$ with density $r^p$ for $n \ge 3$ and $p>0$ are spheres that pass through the origin.
DOI:	10.48550/arxiv.1504.01720