Extremal functions for a singular Hardy-Moser-Trudinger inequality
Functional Analysis
2019-12-25 v1
Abstract
In this paper, using blow-up analysis, we prove a singular Hardy-Morser-Trudinger inequality, and find its extremal functions. Our results extend those of Wang-Ye (Adv. Math. 2012), Yang-Zhu ( Ann. Glob. Anal. Geom. 2016), Csat\'{o}- Roy (Calc. Var. 2015), and Yang-Zhu (J. Funct. Anal. 2017).
Cite
@article{arxiv.1908.03982,
title = {Extremal functions for a singular Hardy-Moser-Trudinger inequality},
author = {Songbo Hou},
journal= {arXiv preprint arXiv:1908.03982},
year = {2019}
}
Comments
16 pages