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arXiv · 1511.01149

Boundary Behaviors for Liouville's Equation in Planar Singular Domains

Qing Han·Weiming Shen
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Abstract

We study asymptotic behaviors near the boundary of complete metrics of constant curvature in planar singular domains and establish an optimal estimate of these metrics by the corresponding metrics in tangent cones near isolated singular points on boundary. The conformal structure plays an essential role.

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Qing Han, Weiming Shen. 2015-11-03. Boundary Behaviors for Liouville's Equation in Planar Singular Domains. https://arxiv.org/abs/1511.01149

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