Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields
classification
🧮 math.AP
keywords
fieldshardy-leraysharpvectorcurl-freeinequalitiesrellich-lerayaxisymmetric
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In this paper, we prove Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields with sharp constants. This complements the former work by Costin-Maz'ya \cite{Costin-Mazya} on the sharp Hardy-Leray inequality for axisymmetric divergence-free vector fields.
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