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] School of Mathematics and Physics, Shanghai Normal University, Shanghai, China; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, China; [3] School of Mathematics, Zhejiang University, Hangzhou, China

年份：2017

外文期刊名：arXiv

收录：EI(收录号：20200066640)

语种：英文

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-Vázquez 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. Copyright ? 2017, The Authors. All rights reserved.