A note on the supersolution method for Hardy's inequality
Analysis of PDEs
2022-09-08 v1 Functional Analysis
Abstract
We prove a characterization of Hardy's inequality in Sobolev-Slobodecki\u{\i} spaces in terms of positive local weak supersolutions of the relevant Euler-Lagrange equation. This extends previous results by Ancona and Kinnunen & Korte for standard Sobolev spaces. The proof is based on variational methods.
Cite
@article{arxiv.2209.03011,
title = {A note on the supersolution method for Hardy's inequality},
author = {Francesca Bianchi and Lorenzo Brasco and Firoj Sk and Anna Chiara Zagati},
journal= {arXiv preprint arXiv:2209.03011},
year = {2022}
}
Comments
14 pages