一类球内奇异非线性椭圆型方程边值问题的正的径向对称解

The Positive Radial Symmetric Solutionsfor a Class Elliptic Boundary valueProblem in A Ball

运用打靶法研究一类球内奇异非线性椭圆型方程△u=f(|x|,u,|(?) u|)的边值问题,得到了一个存在正的径向对称解的充分和必要条件,部分的推广了H.Usami于1989年所得的结果.

In this paper, we study the existence of positive radial symmetric solutions for aclass of singular nonlinear elliptic boundary value problem in a ball with the shootingmethod,and have attained a sufficient and neccessary condition . The results of this paper partly extends the findings of H. Usami in 1989.