HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

doi:10.1016/S0252-9602(08)60048-X

数学物理学报(英文版)

HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

陈志辉; 沈尧天

华南理工大学数学学院, 广州 510640

收稿日期:2006-08-05 修回日期:1900-01-01 出版日期:2008-07-20 发布日期:2008-07-20
通讯作者: 陈志辉
基金资助:
Project supported by the National Natural Science Foundation of China
(10771074, 10726060), the Natural Science Foundation of Guangdong Province (04020077)

HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

Chen Zhihui; Shen Yaotian

School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

Received:2006-08-05 Revised:1900-01-01 Online:2008-07-20 Published:2008-07-20
Contact: Chen Zhihui

摘要/Abstract

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.

关键词: Hardy-Sobolev inequality, general weight, best constant

Abstract:

Key words: Hardy-Sobolev inequality, general weight, best constant

中图分类号:

46E35

陈志辉; 沈尧天. HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS[J]. 数学物理学报(英文版), 2008, 28(3): 469-478.

Chen Zhihui; Shen Yaotian. HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS[J]. Acta mathematica scientia,Series B, 2008, 28(3): 469-478.

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HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

HARDY-SOBOLEV INEQUALITIES WITH GENERAL WEIGHTS AND REMAINDER TERMS

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