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arXiv · 1706.02432

Refined Asymptotics for Minimal Graphs in the Hyperbolic Space

Weiming Shen·Yue Wang
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Abstract

We study the boundary behaviors of solutions $f$ to the Dirichlet problem for minimal graphs in the hyperbolic space with singular asymptotic boundaries and characterize the boundary behaviors of $f$ at the points strictly located in the tangent cones at the singular points on the boundary. For $n=2$, we also obtain a refined estimate of $f.$

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Weiming Shen, Yue Wang. 2017-06-08. Refined Asymptotics for Minimal Graphs in the Hyperbolic Space. https://arxiv.org/abs/1706.02432

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