期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:458
Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds
Article
Yuan, Lixia1  Zhao, Wei2  Shen, Yibing3 
[1] Shanghai Normal Univ, Sch Math & Phys, Shanghai 200234, Peoples R China
[2] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
[3] Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
关键词: Hardy inequality;    Rellich inequality;    Nonreversible Finsler manifold;    Sharp constant;   
DOI  :  10.1016/j.jmaa.2017.10.036
来源: Elsevier
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【 摘 要 】

In this paper, we study the sharp constants of quantitative Hardy and Rellich inequalities on nonreversible Finsler manifolds equipped with arbitrary measures. In particular, these inequalities can be globally refined by adding remainder terms like the Brezis Vazquez improvement, if Finsler manifolds are of strictly negative flag curvature, vanishing S-curvature and finite uniformity constant. Furthermore, these results remain valid when Finsler metrics are reversible. (C) 2017 Elsevier Inc. All rights reserved.

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