负曲率黎曼流形上的尖锐Moser-Trudinger不等式
偏微分方程分析
2024-07-03 v2
摘要
设 为具有负曲率的完备单连通黎曼流形。我们在 上获得了一些具有尖锐常数的Moser-Trudinger不等式。
引用
@article{arxiv.1503.00274,
title = {Sharp Moser-Trudinger inequalities on Riemannian manifolds with Negative curvature},
author = {Qiaohua Yang and Dan Su and Yinying Kong},
journal= {arXiv preprint arXiv:1503.00274},
year = {2024}
}
备注
There is a gap in the proof of Theorem 1.1 and 1.2. We thank C. Morpurgo for pointing out this fact to us. A partial fix has been given by L. Fontana, C. Morpurgo and L. Qin in a forthcoming paper: Moser-Trudinger inequalities: from local to global, Ann. Mat. Pura Appl., to appear