期刊论文

Existence of Solutions for Semilinear Elliptic Equations with Critical Sobolev Exponent and Hardy Terms via Fibering Method

中文

中南民族大学学报(自然科学版)

1672-4321

2006

25

4

101-103

10.3969/j.issn.1672-4321.2006.04.029

国家自然科学基金资助项目（10471052）；

本校为第一机构

设Ω是R^n中的有界光滑区域，0∈Ω，N≥3，2＊：=2N/N-2是Sobolev临界指数，通过Pohozaev提出的纤维方法，证明了当参数λ和μ满足一定条件时，带有Dirichlet边界条件的椭圆问题-△u-μ/｜x｜^2u=｜u｜^2＊-2u＋λu解的存在性．

Let Ω belong R^n be a smooth hounded domain such that 0∈Ω, N≥3, 2＊：=2N/N-2. By using the fibering method introduced by Pohozaev, we prove existence of solutions for a Dirichlet problem associated to a semilinear elliptic equations with critical sobolev exponent and hardy terms -△u-μ/｜x｜^2u=｜u｜^2＊-2u＋λu for suitable p...