On the number of the negative eigenvalues on a finite compact metric tree

Author:

El Aïdi Mohammed

Abstract

The purpose of the present article is to provide an upper bound of the number of the negative eigenvalues of a generalized Schrödinger operator defined on a finite compact metric tree.

Publisher

American Mathematical Society (AMS)

Reference20 articles.

1. Mathematical Surveys and Monographs;Berkolaiko, Gregory,2013

2. Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations;Birman, M. Sh.,1991

3. On the eigenvalues for a weighted 𝑝-Laplacian operator on metric graphs;El Aïdi, Mohammed;Complex Var. Elliptic Equ.,2019

4. Upper bounds of the eigenvalues related to a weighted fractional 𝑝-Laplacian on metric graphs;El Aïdi, Mohammed;Graphs Combin.,2018

5. On the Riesz-means of negative eigenvalues for a fractional Schrödinger operator;El Aïdi, Mohammed;Integral Transforms Spec. Funct.,2016

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