English

Hardy-type inequalities for vector fields with the tangential components vanishing

Analysis of PDEs 2014-03-18 v1

Abstract

This note studies the Hardy-type inequalities for vector fields with the L1L^1 norm of the \curl\curl. In contrast to the well-known results in the whole space for the divergence-free vectors, we generalize the Hardy-type inequalities to the bounded domains and to the non-divergence-free vector fields with the tangential components on the boundary vanishing.

Keywords

Cite

@article{arxiv.1403.3989,
  title  = {Hardy-type inequalities for vector fields with the tangential components vanishing},
  author = {Xingfei Xiang and Zhibing Zhang},
  journal= {arXiv preprint arXiv:1403.3989},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T03:27:59.390Z