Minimal periodic foams with fixed inradius

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2025-04-22 DOI:10.1112/mtk.70020

Annalisa Cesaroni, Matteo Novaga

引用次数: 0

Abstract

In this note, we show existence and regularity of periodic tilings of the Euclidean space into equal cells containing a ball of fixed radius, which minimize either the classical or the fractional perimeter. We also discuss some qualitative properties of minimizers in dimensions 3 and 4.

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最小周期泡沫与固定半径

在这篇笔记中，我们证明了欧几里得空间的周期性平铺的存在性和规律性，平铺成包含一个固定半径的球的相等的单元，使经典周长或分数周长最小化。我们还讨论了3维和4维最小值的一些定性性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.