Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910272041517056 |
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| author | Xia, Chao Yin, Jiabin Zhou, Xingjian |
| author_facet | Xia, Chao Yin, Jiabin Zhou, Xingjian |
| contents | In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to $p$-capacitary functions in $3$-dimensional asymptotically flat half-spaces of simple topology with nonnegative scalar curvature and nonnegative boundary mean curvature. These inequalities attain equality on a Schwarzschild half-space outside a rotationally symmetric half sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_31202 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces Xia, Chao Yin, Jiabin Zhou, Xingjian Differential Geometry Analysis of PDEs In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to $p$-capacitary functions in $3$-dimensional asymptotically flat half-spaces of simple topology with nonnegative scalar curvature and nonnegative boundary mean curvature. These inequalities attain equality on a Schwarzschild half-space outside a rotationally symmetric half sphere. |
| title | Mass-$p$-Capacity Inequalities in Asymptotically Flat Half-Spaces |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2605.31202 |