Calculus of Variations and Geometric Measure Theory

S. Kholmatov

On the minimality of the Winterbottom shape

created by kholmatov2 on 30 Jan 2024
modified on 03 Feb 2024



Inserted: 30 jan 2024
Last Updated: 3 feb 2024

Year: 2024


In this paper we prove that the Winterbottom shape [Winterbottom: Acta Metallurgica (1967)] is a volume-constraint minimizer of the corresponding anisotropic capillary functional.

Tags: GeMeThNES
, GeoMeG
Keywords: minimizer, wulff shape, anisotropy, capillarity functional, Winterbottom shape