【摘要】 利用Sobolev_Hardy不等式和山路几何研究了如下包含临界指数的半线性椭圆型方程正解的存在性 :　　 -div(|x|β u) =|x|αup - 1+λ|x|σuq - 1,x∈Ω ;u >0 ,x∈Ω ;u =0 ,x∈ Ω .更多还原

【Abstract】 In this paper, the existence of the positive solution of the follwing semilinear elliptic equation with critical exponent is studied:-div(| x| β  u )=| x| αu p-1 +λ|x| σu q-1 in Ω, u>0 in Ω, u=0 on Ω, by using Sobolev_Hardy inequality and the Mountain Pass Geometry.更多还原