Isoperimetric Regions in Rⁿwith Density r^p

• Autorzy: Wyatt Boyer , Bryan Brown , Gregory R. Chambers , Alyssa Loving , Sarah Tammen
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Isoperimetric; density

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2016
• Tom: 4
• Numer: 1

Daty

otrzymano

2015-07-21

zaakceptowano

2016-08-07

online

2016-09-20

Twórcy

autor

Wyatt Boyer

• Department of Mathematics, Boston College

autor

Bryan Brown

• Department of Mathematics, Pomona College

autor

Gregory R. Chambers

• Department of Mathematics, University of Chicago

autor

Alyssa Loving

• Department of Mathematics, University of Illinois Urbana-Champaign

autor

Sarah Tammen

• Department of Mathematics, Massachusetts Institute of Technology

Identyfikatory

DOI

10.1515/agms-2016-0009