Upper bounds for the Steklov eigenvalues on trees

Zunwu He; Bobo Hua

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arXiv · 2011.11014

Upper bounds for the Steklov eigenvalues on trees

Zunwu He·Bobo Hua

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Abstract

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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BibTeX RIS

Zunwu He, Bobo Hua. 2022-03-09. Upper bounds for the Steklov eigenvalues on trees. https://arxiv.org/abs/2011.11014

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