Weighted eigenvalues of Dirac operators: complete continuity and comparison
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916920218877952 |
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| author | Qiu, Zixuan Wu, Ruijun |
| author_facet | Qiu, Zixuan Wu, Ruijun |
| contents | We give a min-max characterization of the weighted Dirac eigenvalues, and show that the weighted eigenvalues and eigenspaces of Dirac operators are continuous with respect to weak $L^p$ convergence of the inverse weight, for any $p>n$.
Moreover, we establish a comparison result for such weighted eigenvalue problems when there are no harmonic spinors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted eigenvalues of Dirac operators: complete continuity and comparison Qiu, Zixuan Wu, Ruijun Spectral Theory Spectral Theory We give a min-max characterization of the weighted Dirac eigenvalues, and show that the weighted eigenvalues and eigenspaces of Dirac operators are continuous with respect to weak $L^p$ convergence of the inverse weight, for any $p>n$. Moreover, we establish a comparison result for such weighted eigenvalue problems when there are no harmonic spinors. |
| title | Weighted eigenvalues of Dirac operators: complete continuity and comparison |
| topic | Spectral Theory Spectral Theory |
| url | https://arxiv.org/abs/2508.07591 |