摘要
设Ω是Rn中的有界光滑区域,0∈,ΩN≥3,2*:=2NN-2是Sobo lev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D irich
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 positive parameters λ and μ.
出处
《中南民族大学学报(自然科学版)》
CAS
2006年第4期101-103,共3页
Journal of South-Central University for Nationalities:Natural Science Edition
基金
国家自然科学基金资助项目(10471052)