论 R^n 中最大距离最小值的正则性

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE Pub Date : 2023-12-13 DOI:10.2422/2036-2145.202208_004

A. Gordeev, Y. Teplitskaya

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引用次数: 2

摘要

我们研究作为最大距离最小化问题解的集合 Σ 的性质，即在满足不等式的封闭连通集合类 Σ ⊂ R n 上具有最小长度（一维 Hausdorﬀ 度量）的集合的性质。

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On regularity of maximal distance minimizers in R^n

We study the properties of sets Σ which are the solutions of the maximal distance minimizer problem, i.e. of sets having the minimal length (one-dimensional Hausdorﬀ measure) over the class of closed connected sets Σ ⊂ R n satisfying the inequality

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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

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