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

Aldo Pratelli; Frank Morgan

arxiv: 1111.5160 · v1 · pith:2KBZMUAVnew · submitted 2011-11-22 · 🧮 math.FA · math.AP

Existence of isoperimetric regions in R^n with density

Frank Morgan , Aldo Pratelli This is my paper

classification 🧮 math.FA math.AP

keywords densityisoperimetricregionsexistenceprovealongboundednessgrowth

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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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Existence of isoperimetric regions in R^n with density

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