Given an elliptic integrand of class $ \mathscr{C}^{3} $, we prove that finite unions of disjoint open Wulff shapes with equal radii are the only volume-constrained critical points of the anisotropic surface energy among all sets with finite perimeter and reduced boundary almost equal to its closure.

中文翻译：

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有限周长集各向异性等周问题临界点的唯一性

给定 $\mathscr{C}^{3} $ 类的椭圆被积函数，我们证明具有相等半径的不相交的开放 Wulff 形状的有限联合是所有具有有限周长的集合中各向异性表面能的唯一体积约束临界点和减少的边界几乎等于它的闭合。