Abstract of a paper by Frank Morgan and Aldo Pratelli
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 http://arXiv.org/abs/1111.5160
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alspach@math.okstate.edu