# Existence of isoperimetric regions in $\mathbb R^n$ with density

created by pratelli on 12 Sep 2012
modified on 16 Feb 2015

[BibTeX]

Published Paper

Inserted: 12 sep 2012
Last Updated: 16 feb 2015

Journal: Ann. Global Anal. Geom.
Year: 2012

Abstract:

We prove the existence of isoperimetric regions in $\mathbb R^n$ with density under various hypotheses on the growth of the density. Along the way we prove results on the boundedness of isoperimetric regions.