20 Dec
2011
20 Dec
'11
10:32 a.m.
This is an announcement for the paper "Existence of isoperimetric regions in $\R^n$ with density" by Frank Morgan and Aldo Pratelli.
Abstract: We prove the existence of isoperimetric regions in $\R^n$ with density under various hypotheses on the growth of the density. Along the way we prove results on the boundedness of isoperimetric regions.
Archive classification: math.FA math.AP
Remarks: 31 pages, 4 figures
Submitted from: aldo.pratelli@unipv.it
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1111.5160
or