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.

引用

页码：856 / 866

页数：11

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