Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866929288115126272 |
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| author | Meng, Yifeng Wang, Kui |
| author_facet | Meng, Yifeng Wang, Kui |
| contents | In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces. Our results generalize the work of Wang and Xia for bounded domains in the hyperbolic space [13], and Szegö-Weinberger inequality in rank-1 symmetric spaces obtained by Aithal and Santhanam [1]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_13842 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces Meng, Yifeng Wang, Kui Differential Geometry Analysis of PDEs Spectral Theory 35P15, 58G25 In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces. Our results generalize the work of Wang and Xia for bounded domains in the hyperbolic space [13], and Szegö-Weinberger inequality in rank-1 symmetric spaces obtained by Aithal and Santhanam [1]. |
| title | Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces |
| topic | Differential Geometry Analysis of PDEs Spectral Theory 35P15, 58G25 |
| url | https://arxiv.org/abs/2209.13842 |