Prescribing Gaussian curvature on R-2

被引：3

作者：

Wu, SX

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 10期

关键词：

prescribing Gaussian curvature; semilinear elliptic PDE; integral equation;

D O I：

10.1090/S0002-9939-97-04150-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a sufficient condition for a radially symmetric function K(x) which is positive somewhere to be a conformal curvature on R-2. In particular, we show that every nonnegative radially symmetric continuous function K(x) on R-2 is a conformal curvature.

引用

页码：3119 / 3123

页数：5

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