Sharp Hardy-Leray inequality for axisymmetric divergence-free fields

Details Sharp Hardy-Leray inequality for axisymmetric divergence-free fields Sharp Hardy-Leray inequality for axisymmetric divergence-free fields

2007-03-05

arxiv.org/abs/math/0703116v2

Mathematics

Classical Analysis and ODEs

Scientific paper

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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