Multiple eigenvalues and the width
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915681183727616 |
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| author | Hu, Qixuan |
| author_facet | Hu, Qixuan |
| contents | We obtain the simplicity of the first Neumann eigenvalue of convex thin domain with boundary in $R^n$ and compact thin manifolds with non-negative Ricci curvature. For convex thin domain in $R^2$, we get the simplicity of the first k Neumann eigenvalues. The number k depends on the ratio of the corresponding width over the diameter of the domain. For convex thin domain in $R^n$, we obtain the eigenvalue comparison with collapsing segment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15050 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiple eigenvalues and the width Hu, Qixuan Spectral Theory 35K15, 53C44 We obtain the simplicity of the first Neumann eigenvalue of convex thin domain with boundary in $R^n$ and compact thin manifolds with non-negative Ricci curvature. For convex thin domain in $R^2$, we get the simplicity of the first k Neumann eigenvalues. The number k depends on the ratio of the corresponding width over the diameter of the domain. For convex thin domain in $R^n$, we obtain the eigenvalue comparison with collapsing segment. |
| title | Multiple eigenvalues and the width |
| topic | Spectral Theory 35K15, 53C44 |
| url | https://arxiv.org/abs/2512.15050 |