Boundary behaviors for Liouville’s equation in planar singular domains. (English) Zbl 1391.35118
In this article, the asymptotic behavior near the boundary of complete metrics having constant curvature for planar singular domains are studied. The authors establish an optimal estimate of these metrics using the corresponding metrics in tangent cones situated close to the isolated singular points on the boundary.
Reviewer: Andreas Kleefeld (Jülich)
MSC:
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
Keywords:
Liouville equation on plane domains; asymptotic behavior of the solutions near to the boundaryReferences:
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