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

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
Format: Artikel
Sprache:eng
Schlagworte:
Euclidean space
Hypotheses
Theorems
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Zusammenfassung:(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]
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-012-9348-7