椭圆方程“△u+K(x)e2u=0”当K(x)在某些点为正时解的存在性

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 89-95.

椭圆方程“△u+K(x)e^2u=0”当K(x)在某些点为正时解的存在性

College of Science Beihang University,College of Science,Beihang University,,Beijing 100083,China,Beijing 100083,China

收稿日期:2006-12-25 出版日期:2008-03-30 发布日期:2023-10-16
作者简介:WU San-xing(1958-), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in partial diferential equation; ZHANG Jing(1982-), female, native of Lingbao, Henan, M.S.D., engages in partial differential equation.

On the Elliptic Equation "△u+K(x)e²^u =0" with K(x) Positive Somewhere

College of Science Beihang University,College of Science,Beihang University,,Beijing 100083,China,Beijing 100083,China

Received:2006-12-25 Online:2008-03-30 Published:2023-10-16
About author:WU San-xing(1958-), male, native of Qixian, Shanxi, an associate professor of Beihang University, Ph.D., engages in partial diferential equation; ZHANG Jing(1982-), female, native of Lingbao, Henan, M.S.D., engages in partial differential equation.

摘要/Abstract

摘要： This paper considers the existence problem of an elliptic equation,which is equivalent to the prescribing conformal Gaussian curvature problem on R2.An existence result is proved.In particular,K(x) is allowed to be unbounded above.

中图分类号:

O175.25

武三星, 张静 .

椭圆方程“△u+K(x)e^2u=0”当K(x)在某些点为正时解的存在性

[J]. 数学季刊, 2008, 23(1): 89-95.

WU San-cing, ZHANG Jing. On the Elliptic Equation "△u+K(x)e²^u =0" with K(x) Positive Somewhere [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 89-95.

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椭圆方程“△u+K(x)e^2u=0”当K(x)在某些点为正时解的存在性

On the Elliptic Equation "△u+K(x)e²^u =0" with K(x) Positive Somewhere

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椭圆方程“△u+K(x)e2u=0”当K(x)在某些点为正时解的存在性

On the Elliptic Equation "△u+K(x)e²u =0" with K(x) Positive Somewhere

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椭圆方程“△u+K(x)e^2u=0”当K(x)在某些点为正时解的存在性

On the Elliptic Equation "△u+K(x)e²^u =0" with K(x) Positive Somewhere