Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields
Analysis of PDEs
2018-08-30 v1
Abstract
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.
Cite
@article{arxiv.1808.09614,
title = {Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields},
author = {Naoki Hamamoto and Futoshi Takahashi},
journal= {arXiv preprint arXiv:1808.09614},
year = {2018}
}