非线性椭圆型方程的奇异边值问题存在定理的改进

Improvement of Existence Theorem of the Singular Boundary Value Problems for a Class of Nonlinear Elliptic Equations

本文在单位圆盘B上研究非线性椭圆奇异边值问题△u+f(x,u,▽u)=0,x∈B;u=0,x∈■B,在相当一般的条件下得出正解的存在定理,推广和改进了H.Usami[4](1989)及[1]、[2](1999-2004)的相应工作.

This paper proves an existence theorem of positive solutions to a class of singular nonlinear ：elliptic value problems in a ball under a group of quite general conditions, and the result extends and improves that of Ye Changqin 1999 and 2004 and that of H.Usami in 1989.