向量值映射下Sobolev不等式第二最佳常数的连续性(英文)  

THE CONTINUITY OF THE SECOND BEST CONSTANT FOR SOBOLEV INEQUALITY ON THE VECTOR VALUED MAPS

作　　者：孙小妹[1] 陈文艺[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2010年第2期243-251,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(10671182)

摘　　要：本文研究了向量值映射下Sobolev不等式第二最佳常数的连续性问题.利用反证法,我们得到第二最佳常数在C2-拓扑下连续依赖于度量,推广了Barbosa E.R.和Montenegro M.的结果.In this article, we deal with the continuity of the second best constant for Sobolev inequalities on vector valued maps. By method of contradiction, we obtain the second best constant depending continuously on g in C2-topology, which generalizes Barbosa E.R. and Montenegro M.＇s results in [3].

关 键 词：SOBOLEV不等式 向量值映射 最佳常数 

分 类 号：O186.1[理学—数学]