Boundary Behaviors for Liouville's Equation in Planar Singular Domains
Analysis of PDEs
2017-08-23 v2
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.
Keywords
Cite
@article{arxiv.1511.01149,
title = {Boundary Behaviors for Liouville's Equation in Planar Singular Domains},
author = {Qing Han and Weiming Shen},
journal= {arXiv preprint arXiv:1511.01149},
year = {2017}
}
Comments
Accepted by Journal of Functional Analysis