Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. (Convex domains of given thickness with smallest surface area)
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.
convex domains of given thickness with smallest surface area
scientific article; zbMATH DE number 3919188