A SOBOLEV-HARDY INEQUALITY WITH APPLICATION TO A NONLINEAR ELLIPTIC EQUATION

被引：0
|
作者：
Xie Chaodong (Dept. of Economic and Management
机构：
来源：
Annals of Differential Equations | 2006年 / 01期
关键词：
elliptic equation; Sobolev-Hardy inequality; critical singularity; Mountain Pass Theorem;
D O I：
暂无
中图分类号：
O175.25 [椭圆型方程];
学科分类号：
070104 ;
摘要：
In this paper, when μ< 1/4, and 2 <q<2(3-σ),0≤<σ≤ 2 we discuss the existence of the solution for a nonlinear elliptic equation by an improved Sobolev-Hardy inequality. We also proved that the constant is optimal in the improved Sobolev-Hardy inequality. We also prove that the problem has no nontrivial solution when |y|<R,μ>0 and q=2(3-σ),the method is coming from the idea of Pohozaev.
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页码：69 / 74
页数：6
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