Upper bounds for the Steklov eigenvalues on trees

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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
关键词
05C05; 47A75; 49J40; 49R05;
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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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