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arXiv · 1111.5160

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

Frank Morgan·Aldo Pratelli
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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.

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Frank Morgan, Aldo Pratelli. 2011-11-22. Existence of isoperimetric regions in $\R^n$ with density. https://arxiv.org/abs/1111.5160

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