Upper bounds for the Steklov eigenvalues on trees

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 esti...

Full description

Bibliographic Details
Main Authors: He, Z. (Author), Hua, B. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media Deutschland GmbH 2022
Subjects:
Online Access:View Fulltext in Publisher