论文标题
树木上的steklov特征值的上限
Upper bounds for the Steklov eigenvalues on trees
论文作者
论文摘要
在本文中，我们通过几何量研究了树木上离散的steklov特征值的上限。对于有限树，我们通过边界和直径的倒数分别证明了第一个非零steklov特征值的尖锐上限。我们还证明了高阶Steklov特征值的类似估计。
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.
