Sharp Hardy–Leray inequality for axisymmetric divergence-free fields

被引：0
|
作者：
O. Costin
V. Maz’ya
机构：
[1] Ohio State University,Department of Mathematics
[2] University of Liverpool,Department of Mathematical Sciences
[3] Linköping University,Department of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2008年 / 32卷
关键词：
35Q30; 76D05; 35R45; 47J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the sharp constant in the classical n-dimensional Hardy–Leray inequality can be improved for axisymmetric divergence-free fields, and find its optimal value. The same result is obtained for n = 2 without the axisymmetry assumption.
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页码：523 / 532
页数：9
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