Clusters minimizing area plus length of singular curves
type: Item
instance of: scholarly article
title: Clusters minimizing area plus length of singular curves
zbMATH Open document ID: 0805.49025
DOI: 10.1007/BF01459806
author: Frank Morgan
published in: Mathematische Annalen
publication date: 1994-11-09T00:00:00Z
full work available at URL: https://eudml.org/doc/165230
review text: We give existence and regularity results on clusters of prescribed volumes minimizing surface area plus length of singular curves, as in metals. For small volumes the solution is not a real cluster, but separate spheres. Many open questions remain.
Mathematics Subject Classification ID: 49Q20
Mathematics Subject Classification ID: 52A38
Mathematics Subject Classification ID: 28A75
zbMATH DE Number: 683121
zbMATH Keywords: soap bubble
zbMATH Keywords: surface area plus length
zbMATH Keywords: clusters
MaRDI profile type: Publication
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OpenAlex ID: W2083038782
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description: scientific article; zbMATH DE number 683121