一类非线性椭圆型方程的衰退正整体解

On the existence of positive decaying solutions for a class of the nonlinear elliptic equation

给出一类半线性椭圆方程的正整体解的存在性及渐近性态。以上下解方法为主要工具得到了如下主要结果 :此类方程在不同条件下存在无穷多个正整体解 ,其渐近性态是每个解满足不同的衰退特征。

The existence of poitive decaying solution for a class of the semilinear equation is discussed. By using the methods of lower solution and supper solution, the main results are obtained as follows:the equation exists positive decaying entire solutions under proper conditions.