文献类型：期刊文献

英文题名：Hardy Inequalities with Best Constants on Finsler Metric Measure Manifolds

作者：Zhao, Wei[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2021

卷号：31

期号：2

起止页码：1992

外文期刊名：JOURNAL OF GEOMETRIC ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000500906700001)】；

基金：This work was supported by NNSFC (No. 11761058) and NSFS (No. 19ZR1411700). The author is greatly indebted to Pro. A. Kristaly for many useful discussions and helpful comments.

语种：英文

外文关键词：Hardy inequality; Best constant; Finsler manifold; Riemannian manifold; Metric measure manifold; p-Laplacian; Subharmonic function

摘要：The paper is devoted to weighted Lp\Hardy inequalities with best constants on Finsler metric measure manifolds. There are two major ingredients. The first, which is the main part of this paper, is the Hardy inequalities concerned with distance functions in the Finsler setting. In this case, we find that besides the flag curvature, the Ricci curvature together with two non-Riemannian quantities, i.e., reversibility and S-curvature, also play an important role. And we establish the optimal Hardy inequalities not only on non-compact manifolds, but also on closed manifolds. The second ingredient is the Hardy inequalities for Finsler p-sub/superharmonic functions, in which we also investigate the existence of extremals and the Brezis-Vazquez improvement.