Eigenvalues of the discrete p-Laplacian via graph surgery
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915484272689152 |
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| author | Berkolaiko, Gregory Hofmann, Matthias |
| author_facet | Berkolaiko, Gregory Hofmann, Matthias |
| contents | We develop a Hellmann--Feynman type perturbation theory for the discrete signed $p$-Laplacian and apply it to a parametrized perturbation by edge cuts. We show that the eigenvalues of the signed $p$-Laplacian can be characterized as citical values of the parameter-dependent eigenvalues of a simpler graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06686 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalues of the discrete p-Laplacian via graph surgery Berkolaiko, Gregory Hofmann, Matthias Analysis of PDEs 05C22, 05C50, 35J92, 35J10, 35R02, 81Q35 We develop a Hellmann--Feynman type perturbation theory for the discrete signed $p$-Laplacian and apply it to a parametrized perturbation by edge cuts. We show that the eigenvalues of the signed $p$-Laplacian can be characterized as citical values of the parameter-dependent eigenvalues of a simpler graph. |
| title | Eigenvalues of the discrete p-Laplacian via graph surgery |
| topic | Analysis of PDEs 05C22, 05C50, 35J92, 35J10, 35R02, 81Q35 |
| url | https://arxiv.org/abs/2509.06686 |