Lower bound for the perimeter density at singular points of a minimizing cluster in Double-struck capital RN☆

被引：1

作者：

Hirsch, Jonas ^{[1
]}

Marini, Michele ^{[2
]}

机构：

[1] Univ Leipzig, Math Inst, Augustus Pl 10, D-04109 Leipzig, Germany

[2] Scuola Int Super Avanzati, Via Bonomea 265, I-34136 Trieste, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2020年 / 26卷

关键词：

Isoperimetric problems; partitioning problems; minimal surfaces; DOUBLE BUBBLE CONJECTURE; SOAP-BUBBLE; PROOF;

D O I：

10.1051/cocv/2019005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the blow-ups of the singular points in the boundary of a minimizing cluster lying in the interface of more than two chambers. We establish a sharp lower bound for the perimeter density at those points and we prove that this bound is rigid, namely having the lowest possible density completely characterizes the blow-up.

引用

页数：15

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