关于一类二阶半线性椭园型方程的正解

On the Positive Solution of a Class of Two Order Elliptic Equation

本文利用锥,减算子及拓扑度证明了Lu=c(1+u~α+|Du|~β)^(-1),u|αΩ=0的正解的存在唯一性。其中,α>0是常数,Ω是R^n中的有界凸域。

In this paper, We prove the existence and uniquenness of solution of two order elliptic p.D.E Lu=c(l +ua+ |Du| β)-1 u |(?)o= 0where Lu=- are cpnstan value. ,Ω is a convex domain of Rn. we use cone.substraction operation and topologic degree to provie it