| 向量值映射下Sobolev不等式第二最佳常数的连续性(英文) |
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| 引用本文： | 孙小妹,陈文艺. 向量值映射下Sobolev不等式第二最佳常数的连续性(英文)[J]. 数学杂志, 2010, 30(2) |
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| 作者姓名： | 孙小妹 陈文艺 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10671182) |
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| 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C~2-拓扑下连续依赖十度量,推广了Barbosa E.R.和Montenegro M.的结果.
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| 关 键 词： | Sobolev不等式 向量值映射 最佳常数 |
THE CONTINUITY OF THE SECOND BEST CONSTANT FOR SOBOLEV INEQUALITY ON THE VECTOR VALUED MAPS |
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| SUN Xiao-mei,CHEN Wen-yi. THE CONTINUITY OF THE SECOND BEST CONSTANT FOR SOBOLEV INEQUALITY ON THE VECTOR VALUED MAPS[J]. Journal of Mathematics, 2010, 30(2) |
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| Authors: | SUN Xiao-mei CHEN Wen-yi |
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| Affiliation: | SUN Xiao-mei,CHEN Wen-yi(School of Mathematics , Statistics,Wuhan University,Wuhan 430072,China) |
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| Abstract: | 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]. |
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| Keywords: | Sobolev inequality vector valued maps best constant |
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