Cheeger type inequalities associated with isocapacitary constants on graphs
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913535288672256 |
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| author | Hua, Bobo Münch, Florentin Wang, Tao |
| author_facet | Hua, Bobo Münch, Florentin Wang, Tao |
| contents | In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the Laplace operator and the Dirichlet-to-Neumann operator for an infinite subgraph. Estimates for higher-order Steklov eigenvalues on a finite or infinite subgraph are also proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cheeger type inequalities associated with isocapacitary constants on graphs Hua, Bobo Münch, Florentin Wang, Tao Differential Geometry 53A70, 05C50, 15A42, 39A12 In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the Laplace operator and the Dirichlet-to-Neumann operator for an infinite subgraph. Estimates for higher-order Steklov eigenvalues on a finite or infinite subgraph are also proved. |
| title | Cheeger type inequalities associated with isocapacitary constants on graphs |
| topic | Differential Geometry 53A70, 05C50, 15A42, 39A12 |
| url | https://arxiv.org/abs/2406.12583 |