一个常微分方程整体解的存在性结果

研究常微分方程(d^2u)/(dx^2)+K(x)e^(2u)=0在(-∞,+∞)上整体解的存在性问题.此方程是熟知的在R^2上预定高斯曲率方程的一个特例.本文证明了一个存在性定理.

复射影空间上的几何

通过流形的方法研究n维复射影空间这样一个复杂而又特殊的高维空间上的几何性质,构造出复射影空间的坐标系,对其赋予Fubini-study度量,得到全纯截面曲率为4.

On the Elliptic Equation △u+K(x)e^(2u)=0 with K(x) Positive Somewhere

This paper considers the existence problem of an elliptic equation, which is equivalent to the prescribing conformal Gaussian curvature problem on R^2. An existence result is proved. In particular, K（x） is allowed to be unbounded above.