On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911631886254080 |
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| author | Provenzano, Luigi Savo, Alessandro |
| author_facet | Provenzano, Luigi Savo, Alessandro |
| contents | We prove that the geodesic disks are the unique maximisers of the first non-trivial Neumann eigenvalue among all simply connected domains of the sphere $\mathbb S^2$ with fixed area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04236 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere Provenzano, Luigi Savo, Alessandro Spectral Theory Analysis of PDEs Differential Geometry 35P15, 49Rxx, 58J50, 81Q10 We prove that the geodesic disks are the unique maximisers of the first non-trivial Neumann eigenvalue among all simply connected domains of the sphere $\mathbb S^2$ with fixed area. |
| title | On the isoperimetric inequality for the first positive Neumann eigenvalue on the sphere |
| topic | Spectral Theory Analysis of PDEs Differential Geometry 35P15, 49Rxx, 58J50, 81Q10 |
| url | https://arxiv.org/abs/2603.04236 |