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arXiv · 1911.10306

Liouville type theorems for minimal graphs over manifolds

Qi Ding
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Abstract

Let $\Sigma$ be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar$\mathrm{\acute{e}}$ inequality. We show that any positive minimal graphic function on $\Sigma$ is a constant.

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Qi Ding. 2019-11-23. Liouville type theorems for minimal graphs over manifolds. https://doi.org/10.2140/apde.2021.14.1925

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