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Sharp Hardy-Leray inequality for axisymmetric divergence-free fields

O. Costin·V. Maz'ya
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Abstract

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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O. Costin, V. Maz'ya. 2007-04-04. Sharp Hardy-Leray inequality for axisymmetric divergence-free fields. https://arxiv.org/abs/math/0703116

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