The Wulff shape minimizes an anisotropic Willmore functional. (English) Zbl 1072.35184

Clarenz, Ulrich

Interfaces Free Bound. 6, No. 3, 351-359 (2004).

The author defines a generalizaton of the classical Willmore functionals and proves that Wulff shapes are its only minimizers.

Reviewer: Ricardo Sa Earp (Rio de Janeiro)

MSC:

35Q72	Other PDE from mechanics (MSC2000)
37K25	Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry
35A15	Variational methods applied to PDEs

Keywords:

Willmore flow; restoration problem; mean curvature flow