Partitions with prescribed mean curvatures
type: Item
instance of: scholarly article
title: Partitions with prescribed mean curvatures
zbMATH Open document ID: 1032.49046
author: Gian Paolo Leonardi
published in: Manuscripta Mathematica
publication date: 2002-05-29T00:00:00Z
review text: The author considers a variational problem on Caccioppoli partitions with countably many components, which models immiscible fluids as well as variational image segmentation. The functional introduced by the author generalizes a previous one discussed by \textit{U. Massari} [Arch. Ration. Mech. Anal. 55, 357-382 (1974; Zbl 0305.49047); Rend. Sem. Mat. Univ. Padova 53(1975), 37-52 (1976; Zbl 0358.49019)] in connection with the study of sets with prescribed mean curvature. The paper provides existence as well as regularity results, moreover, some interesting examples are presented.
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 49J10
zbMATH DE Number: 1747302
zbMATH Keywords: Caccioppoli partitions
zbMATH Keywords: variational image segmentation
zbMATH Keywords: prescribed mean curvature
zbMATH Keywords: regularity
reviewed by: M. Fuchs
MaRDI profile type: Publication
full work available at URL: s002290100230
OpenAlex ID: W2067652777
DOI: 10.1007/S002290100230
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description: scientific article; zbMATH DE number 1747302