A problem of prescribing Gaussian curvature on S2

被引：2
|
作者：
Goyal, S [1 ]
Goyal, V [1 ]
机构：
[1] Tuskegee Univ, Dept Math, Tuskegee, AL 36088 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 12期
关键词：
Laplace operator; Gaussian curvature; conformally equivalent; metric;
D O I：
10.1090/S0002-9939-01-06330-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A class of functions K(x) = K(x(1); x(2); x(3)) and the corresponding solutions of Deltau + K(x)e(2u) = 1 are obtained as a special case of the solutions of Deltam(u) + K(x)e(au) = f(x); x = (x(1), x(2),...,x(n)), where Delta (m) is defined as Delta(Delta (m-1)).
引用
收藏
页码：3757 / 3758
页数：2
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