Existence of isoperimetric regions in R^sup n^ with density

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) We prove the existence of isoperimetric regions in ... with density under various hypotheses on the growth of the density. Along the way, we prove results on the boundedness of isoperimetric regions.[PUBLICATION ABSTRACT]

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Veröffentlicht in:Annals of global analysis and geometry 2013-04, Vol.43 (4), p.331
Hauptverfasser: Morgan, Frank, Pratelli, Aldo
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container_title Annals of global analysis and geometry
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creator Morgan, Frank
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description (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) We prove the existence of isoperimetric regions in ... with density under various hypotheses on the growth of the density. Along the way, we prove results on the boundedness of isoperimetric regions.[PUBLICATION ABSTRACT]
doi_str_mv 10.1007/s10455-012-9348-7
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subjects Euclidean space
Hypotheses
Theorems
title Existence of isoperimetric regions in R^sup n^ with density
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