On a Sobolev inequality with remainder terms in the Grushin plane

被引：1
|
作者：
Yang, Qiaohua [1 ]
Su, Dan [2 ]
Kong, Yinying [3 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Univ Int Business & Econ, Sch Stat, Beijing 100029, Peoples R China
[3] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou 510320, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Sobolev inequality; Grushin plane; EQUATIONS; SYMMETRY;
D O I：
10.1016/j.jmaa.2013.10.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show the Sobolev inequality for Grushin operator like partial derivative(2)(x) + 4x(2)partial derivative(2)(y), can be refined by adding a remainder term to the distance to the set of optimizers. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：360 / 368
页数：9
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