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The Wulff shape minimizes an anisotropic Willmore functional. (English) Zbl 1072.35184
The author defines a generalizaton of the classical Willmore functionals and proves that Wulff shapes are its only minimizers.

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
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