Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900319 | Journal of Mathematical Analysis and Applications | 2018 | 34 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lixia Yuan, Wei Zhao, Yibing Shen,