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

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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.

作者张蕤

机构地区金陵科技学院公共基础课部

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

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 singular equation quasilinear elliptic equation positive entire solution bounded solu-tion super-supersolution sub-subsolution

分类号 O175.25 [理学—基础数学]

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金陵科技学院学报

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一类拟线性奇异椭圆方程组的有界正整体解

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