关于非线性方程div(Dup-2Du)=f(x,u,▽u)的正整解

摘要

以Schauder-Tychonoff不动点定理为工具,研究一类形如div(|Du|p-2Du)=f(|x|,u,|▽u|)的非线性椭圆型方程存在正整解问题,建立了两个存在正整解及性质的定理.%In this paper, we study the problem of positive entire solutions to nonlinear equations such as div(Du|p-2Du)=f(|x|,u,|▽u|)the Schauder-Tychonoff fixed point theorem as the principal tool and have established two existence theorems of positive entire solutions and properties.