Upper bounds for the Steklov eigenvalues on trees

被引：0
|
作者：
Zunwu He
Bobo Hua
机构：
[1] Fudan University,School of Mathematical Sciences
[2] Fudan University,School of Mathematical Sciences, LMNS
[3] Fudan University,Shanghai Center for Mathematical Sciences, Jiangwan Campus
来源：
Calculus of Variations and Partial Differential Equations | 2022年 / 61卷
关键词：
05C05; 47A75; 49J40; 49R05;
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中图分类号：
学科分类号：
摘要：
In this paper, we study the upper bounds for discrete Steklov eigenvalues on trees via geometric quantities. For a finite tree, we prove sharp upper bounds for the first nonzero Steklov eigenvalue by the reciprocal of the size of the boundary and the diameter respectively. We also prove similar estimates for higher order Steklov eigenvalues.
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