On the elliptic equation Δu+K(x)e2u=0 on B2

被引：1
|
作者：
Wu, SX [1 ]
Liu, HY [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Dept Appl Math, Beijing 100083, Peoples R China
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 10期
关键词：
semilinear elliptic PDE; Gaussian curvature; conformal Riemannian metric;
D O I：
10.1090/S0002-9939-04-07366-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider the existence problem for the elliptic equation Deltau + K(x) e(2u) = 0 on B-2 = {x is an element of R-2 \\x\ < 1}, which arises in the study of conformal deformation of the hyperbolic disc. We prove an existence result for the above equation.
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页码：3083 / 3088
页数：6
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