HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

被引：0
|
作者：
陈志辉 [1 ]
沈尧天 [1 ]
机构：
[1] School of Mathematical Sciences,South China University of Technology
来源：
Acta Mathematica Scientia | 2008年 / 03期
基金：
中国国家自然科学基金;
关键词：
Hardy-Sobolev inequality; general weight; best constant;
D O I：
暂无
中图分类号：
O178 [不等式及其他];
学科分类号：
0701 ; 070101 ;
摘要：
The Hardy-Sobolev inequality with general weights is established,and it is shown that the constant is optimal.The two weights in this inequality are determined by a Bernoulli equation.In addition,the authors obtain the Hardy-Sobolev inequality with general weights and remainder terms.By choosing special weights,it turns to be many versions of the Hardy-Sobolev inequality and the Caffarelli-Kohn-Nirenberg inequality with remainder terms in the literature.
引用
收藏
页码：469 / 478
页数：10
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