Weinstock inequality in hyperbolic space
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909304841306112 |
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| author | Gu, Pingxin Li, Haizhong Wan, Yao |
| author_facet | Gu, Pingxin Li, Haizhong Wan, Yao |
| contents | In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space $\mathbb{H}^n$ for $n \geq 4$. In particular, when the domain is convex, our result gives an affirmative answer to Open Question 4.27 in [7] for the hyperbolic space $\mathbb{H}^n$ when $n \geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weinstock inequality in hyperbolic space Gu, Pingxin Li, Haizhong Wan, Yao Differential Geometry Analysis of PDEs 53C21, 35P15, 58C40 In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space $\mathbb{H}^n$ for $n \geq 4$. In particular, when the domain is convex, our result gives an affirmative answer to Open Question 4.27 in [7] for the hyperbolic space $\mathbb{H}^n$ when $n \geq 4$. |
| title | Weinstock inequality in hyperbolic space |
| topic | Differential Geometry Analysis of PDEs 53C21, 35P15, 58C40 |
| url | https://arxiv.org/abs/2409.02766 |