Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area) (Q1064537)
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scientific article; zbMATH DE number 3919188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area) |
scientific article; zbMATH DE number 3919188 |
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Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area) (English)
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1985
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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.
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convex domains of given thickness with smallest surface area
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generalized duality theory
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0.8424463
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0.83822495
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0.8380133
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0.8344607
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0.8272071
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0.82196665
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0.8210546
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