Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917841619386368 |
|---|---|
| author | Shi, Yongjie Yu, Chengjie |
| author_facet | Shi, Yongjie Yu, Chengjie |
| contents | In this paper, we obtain some comparisons of the Dirichlet, Neumann and Laplacian eigenvalues on graphs. We also discuss their rigidities and some of their applications including some Lichnerowicz-type, Fiedler-type and Friedman-type estimates for Dirichlet eigenvalues and Neumann eigenvalues. The comparisons on Neumann eigenvalues can be translated to comparisons on Steklov eigenvalues in our setting. So, some of the results can be viewed as extensions for parts of the works of \cite{HHW} by Hua-Huang-Wang, and parts of our previous works \cite{SY,SY2}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_04160 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications Shi, Yongjie Yu, Chengjie Differential Geometry Spectral Theory In this paper, we obtain some comparisons of the Dirichlet, Neumann and Laplacian eigenvalues on graphs. We also discuss their rigidities and some of their applications including some Lichnerowicz-type, Fiedler-type and Friedman-type estimates for Dirichlet eigenvalues and Neumann eigenvalues. The comparisons on Neumann eigenvalues can be translated to comparisons on Steklov eigenvalues in our setting. So, some of the results can be viewed as extensions for parts of the works of \cite{HHW} by Hua-Huang-Wang, and parts of our previous works \cite{SY,SY2}. |
| title | Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications |
| topic | Differential Geometry Spectral Theory |
| url | https://arxiv.org/abs/2011.04160 |