Large m asymptotics for minimal partitions of the Dirichlet eigenvalue

被引：0

作者：

Zhiyuan Geng ^{[1
]}

Fanghua Lin ^{[1
]}

机构：

[1] Courant Institute of Mathematical Sciences, New York University

来源：

Science China(Mathematics) | 2022年 / 65卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

In this paper,we study large m asymptotics of the l~1 minimal m-partition problem for the Dirichlet eigenvalue.For any smooth domain Ω?R~n such that |Ω|=1,we prove that the limit liml~1(Ω)=cexists,and the constant cis independent of the shape of Ω.Here,l~1(Ω) denotes the minimal value of the normalized sum of the first Laplacian eigenvalues for any m-partition of Ω.

引用

页码：1 / 8

页数：8

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