Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields
- Resource Type
- Working Paper
- Authors
- Hamamoto, Naoki; Takahashi, Futoshi
- Source
- Subject
- Mathematics - Analysis of PDEs
35A23 (Primary), 26D10 (Secondary)
- Language
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.