Isoperimetric Regions in Rn with Density rp

Author:

Boyer Wyatt1,Brown Bryan2,Chambers Gregory R.3,Loving Alyssa4,Tammen Sarah5

Affiliation:

1. 1Department of Mathematics, Boston College

2. 2Department of Mathematics, Pomona College

3. 3Department of Mathematics, University of Chicago

4. 4Department of Mathematics, University of Illinois Urbana-Champaign

5. 5Department of Mathematics, Massachusetts Institute of Technology

Abstract

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

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Reference8 articles.

1. Max AnthonyMarcuccio Isoperimetric problems on the sphere and on surfaces with density New York http nyjm albany edu pdf;Engelstein;Math,2009

2. Jonathan Isoperimetric regions in the plane with density rp New York http nyjm albany edu pdf;Dahlberg;Math,2010

3. Regularity of isoperimetric hypersurfaces in Riemannian manifolds summary no;Frank Morgan;English Trans Amer Math Soc,2003

4. Geometric Measure Theory Academic th ed Chapters;Frank Morgan,2009

5. Isoperimetric regions in log - convex densities to appear;Gregory;Eur Math Soc

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