Journal article
Boundary behaviors for Liouville's equation in planar singular domains
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.
Authors
Han Q; Shen W
Journal
Journal of Functional Analysis, Vol. 274, No. 6, pp. 1790–1824
Publisher
Elsevier
Publication Date
March 2018
DOI
10.1016/j.jfa.2017.08.014
ISSN
0022-1236