English

Hardy-Sobolev inequalities with distance to the boundary weight functions

Analysis of PDEs 2022-06-30 v1

Abstract

This is the first part of our research on certain sharp Hardy-Sobolev inequalities and the related elliptic equations. In this part we shall establish some sharp weighted Hardy-Sobolev inequalities whose weights are distance functions to the boundary.

Keywords

Cite

@article{arxiv.2206.14540,
  title  = {Hardy-Sobolev inequalities with distance to the boundary weight functions},
  author = {Lei Wang and Meijun Zhu},
  journal= {arXiv preprint arXiv:2206.14540},
  year   = {2022}
}

Comments

24 pages