半线性椭圆方程(带临界指数)在R^N上多解的存在性

The Existence in R N of Multiple Postive Solution for Some Semilinear Elliptic Equation with Critical Soboler Exponent

利用单调迭代法和最大值原理，首先得到方程在ＲＮ的一个最小正解，由此解推出一个新的椭圆方程，利用集中紧原理得出新方程的一个正解，从而得到原方程的第二个正解。

R N of multiple positive solution for some semilinear elliptic equation with critical sobolev exponent,using moth of iteration and maximum principle,we conclude a minimal positive solution of the equation.In order to obtain the second solution, we introduce a new equation.Applying'Concentrained-Compactness'principle to the new-equation, we get another positive solution of the equation.