Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
We derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}. First, by using the inverse mean curvature flow, for the mean convex and star-shaped set KK in Hn{{\mathbb{H}}}^{n}, we obtai...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-03-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2025-0068 |
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