摘要
运用变分方法和分析技巧证明了下列带有Dirichlet边值条件的奇异椭圆方程正解的存在性:-"u-"ux 2=u 2*-2u+#u q-2u,所得结果与参数$,"和q密切相关.
In this paper, via the variational methods and analytic technique, we prove the existence of positive solutions for the singular elliptic equation -△u-μ（u/｜x｜^2）=｜u｜^2＊-2 u＋λ｜u｜^q-2u with Dirichlet boundary condition. The results depend crucially on the parameters λ,μ and q.
出处
《河南科学》
2006年第4期469-473,共5页
Henan Science
关键词
正解
奇异椭圆方程
变分法
positive solution
singular elliptic equation
variational method
