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

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

2011-11-22

arxiv.org/abs/1111.5160v1

Mathematics

Functional Analysis

31 pages, 4 figures

Scientific paper

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.

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