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math.SP2021
Steklov flows on trees and applications
Zunwu He, Bobo Hua
We introduce the Steklov flows on finite trees, i.e. the flows (or currents) associated with the Steklov problem. By constructing appropriate Steklov flows, we prove the monotonici…
math.SP2020
Upper bounds for the Steklov eigenvalues on trees
Zunwu He, Bobo Hua
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 St…