Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets
Uniqueness of Critical Points of the Anisotropic Isoperimetric Problem for Finite Perimeter Sets
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DOI：
10.1007/s00205-020-01562-y
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发表时间：
2019-08
影响因子：
2.5
通讯作者：
A. Rosa;Sławomir Kolasiński;Mario Santilli
中科院分区：
文献类型：
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作者：
A. Rosa;Sławomir Kolasiński;Mario Santilli
给定类的椭圆被积函数，证明了在所有有限周长且约化边界几乎等于其闭包的集合中，不相交的等半径开放Wulff形的有限并是唯一的各向异性表面能的体积约束临界点.
Given an elliptic integrand of class, 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.