An Interpolation of Hardy Inequality and Moser-Trudinger Inequality on Riemannian Manifolds with Negative Curvature

被引：12
|
作者：
Dong, Yan Qing [1 ]
Yang, Qiao Hua [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2016年 / 32卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Moser-Trudinger inequality; Hardy inequality; Riemannian manifold; negative curvature; SOBOLEV INEQUALITIES; UNBOUNDED-DOMAINS; SPACES;
D O I：
10.1007/s10114-016-5129-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let M be a complete, simply connected Riemannian manifold with negative curvature. We obtain an interpolation of Hardy inequality and Moser-Trudinger inequality on M. Furthermore, the constant we obtain is sharp.
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页码：856 / 866
页数：11
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