Hardy-Sobolev interpolation inequalities
Classical Analysis and ODEs
2025-01-03 v2 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We derive a family of interpolation estimates which improve Hardy's inequality and cover the Sobolev critical exponent. We also determine all optimizers among radial functions in the endpoint case and discuss open questions on nonrestricted optimizers.
Cite
@article{arxiv.2312.11249,
title = {Hardy-Sobolev interpolation inequalities},
author = {Charlotte Dietze and Phan Thành Nam},
journal= {arXiv preprint arXiv:2312.11249},
year = {2025}
}
Comments
14 pages