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.

引用

页码：3083 / 3088

页数：6

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