An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space
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_ | 1866915745124843520 |
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| author | Gao, Yi Wang, Kui |
| author_facet | Gao, Yi Wang, Kui |
| contents | We prove a sharp isoperimetric inequality for the harmonic mean of the first $m-1$ nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss space. Our result generalizes the Szegö-Weinberger type inequality in Gauss space, as proved in [8, Theorem 4.1]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15813 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space Gao, Yi Wang, Kui Spectral Theory Analysis of PDEs We prove a sharp isoperimetric inequality for the harmonic mean of the first $m-1$ nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss space. Our result generalizes the Szegö-Weinberger type inequality in Gauss space, as proved in [8, Theorem 4.1]. |
| title | An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space |
| topic | Spectral Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2503.15813 |