文献类型：期刊文献

英文题名：Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds

作者：Yuan, Lixia[1];Zhao, Wei[2];Shen, Yibing[3]

机构：[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

年份：2018

卷号：458

期号：2

起止页码：1512

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000417771900038)】；

基金：The authors thank the referee for his/her careful reading and very useful comments. This work was supported by the National Natural Science Foundation of China (No. 11501202; No. 11471246; No. 11671352), and Shanghai NSF in China (No. 17ZR1420900).

语种：英文

外文关键词：Hardy inequality; Rellich inequality; Nonreversible Finsler manifold; Sharp constant

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.