Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area)
type: Item
instance of: scholarly article
title: Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area)
zbMATH Open document ID: 0575.49024
DOI: 10.4171/ZAA/160
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1985-01-01T00:00:00Z
review text: A till now unconfirmed conjecture is proved analytically: The balls are in \(E^ n\) (n\(\geq 3)\) the single convex domains of given thickness with smallest surface area. The proof is effected by means of a generalized duality theory of restricted multidimensional variational problems in parametric form.
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 3919188
zbMATH Keywords: convex domains of given thickness with smallest surface area
zbMATH Keywords: generalized duality theory
author: Rolf Klötzler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3919188