Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912630926475264 |
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| author | Fontana, Luigi Morpurgo, Carlo Qin, Liuyu |
| author_facet | Fontana, Luigi Morpurgo, Carlo Qin, Liuyu |
| contents | We obtain sharp estimates for heat kernels and Green's functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05638 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth Fontana, Luigi Morpurgo, Carlo Qin, Liuyu Analysis of PDEs Differential Geometry 46E36, 26D10, 58J60 We obtain sharp estimates for heat kernels and Green's functions on complete noncompact Riemannian manifolds with Euclidean volume growth and nonnegative Ricci curvature. We will then apply these estimates to obtain sharp Moser-Trudinger inequalities on such manifolds. |
| title | Sharp estimates and inequalities on Riemannian manifolds with Euclidean volume growth |
| topic | Analysis of PDEs Differential Geometry 46E36, 26D10, 58J60 |
| url | https://arxiv.org/abs/2412.05638 |