华中师范大学学报（自然科学版）2001，Vol.35Issue(2)：136-139,4.
方程-△u-μ(u|x|2)=u2*-1+σf(x)极小正解的存在性
Existence of minimal positive solution for -△u-μ(u|x|2)=u2*-1+σf(x)
摘要
Abstract
In this paper, we consider the semilinear elliptic problem -△u-μ(u|x|2)=u2*-1+σf(x), u∈H01(Ω),u>0,N>2. where ΩRN is a bounded smooth domain such that 0∈Ω, σ>0 is a real parameter, μ<=(N-2)2/4 and f(x) is some given function in L∞(Ω) such that f(x)0, f(x)0 in Ω. An existence result of minimal solution has been obtained by implicit function theorem and standard barrier method.关键词
极小正解/临界指标/椭圆型方程分类
数理科学引用本文复制引用
程婷..方程-△u-μ(u|x|2)=u2*-1+σf(x)极小正解的存在性[J].华中师范大学学报（自然科学版）,2001,35(2):136-139,4.基金项目
Supported by the Excellent Young Teachers Program of MOE P.R.C.(110.4710). （110.4710）
