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Liouville-type
theorems for minimal graphs over manifolds
Qi Ding |
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Vol. 14 (2021), No. 6, 1925–1949
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Abstract |
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Let be a complete Riemannian manifold with the volume-doubling property and the uniform Neumann–Poincaré inequality. We show that any positive minimal graphic function on is constant. |
Keywords
minimal graph, nonnegative Ricci curvature, Liouville-type
theorem, Harnack's inequality, Neumann–Poincaré inequality
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Mathematical Subject Classification 2010
Primary: 53A10, 53C21
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Milestones
Received: 3 October 2019
Accepted: 25 March 2020
Published: 7 September 2021
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Authors |
| Qi Ding | |
| Shanghai Center for Mathematical
Sciences Fudan University Shanghai China |
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