Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke

  • Rolf Klötzler

    Borsdorf, Germany

Abstract

A till now unconfirmed conjecture is proved analytically: The balls are in 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.

Cite this article

Rolf Klötzler, Konvexe Bereiche kleinster Oberfläche bei gegebener Dicke. Z. Anal. Anwend. 4 (1985), no. 4, pp. 373–383

DOI 10.4171/ZAA/160