一类拟线性奇异椭圆方程组的有界正整体解  

Bounded Positive Entire Solutions of Singular Quasilinear Elliptic Equations

作　　者：张蕤[1] 

机构地区：[1]金陵科技学院公共基础课部,江苏南京211169

出　　处：《金陵科技学院学报》2008年第4期1-3,共3页Journal of Jinling Institute of Technology

摘　　要：研究形如Δu+f1(x,u,▽u)u-βP(v)=0,Δv+f2(x,v,▽v)v-βP(u)=0,x∈RN,N≥3,β≥0的N维拟线性奇异椭圆方程组,在满足一系列条件时存在一对有界正整体解。It suppose that β≥0 is a constant. This paper investigates N-dimensional singular, quasilinear elliptic equations of the form：{△u＋f1（x,u,△↓u）u-βP（v）=0 △u＋f2（x,u,△↓u）u-βP（v）=0 x∈R^n,N≥3,gives some sufficient conditions for the equations to have a bounded positive entire solution.

关 键 词：奇异方程 拟线性椭圆方程 正整体解 有界解 上上解 下下解 

分 类 号：O175.25[理学—数学]