成果/Result
- A GENERIC FUNCTIONAL INEQUALITY AND RICCATI PAIRS: AN ALTERNATIVE APPROACH TO HARDY-TYPE INEQUALITIES被引量:63收藏
- 作者:Kajántó, Sándor Kristály, Alexandru Peter, Ioan Radu Zhao, Wei
- 机构: Department of Mathematics; Department of Economics; Institute of Applied Mathematics; Department of Mathematics; Department of Mathematics
- 来源:arXiv 2023
- 关键词:Geometry
- Sharp hardy inequalities via riemannian submanifolds被引量:47收藏
- 作者:Chen, Yunxia Zhao, Wei
- 机构: Department of Mathematics
- 来源:arXiv 2020
- Sharp uncertainty principles on general Finsler manifolds被引量:46收藏
- 作者:Huang, Libing Kristály, Alexandru Zhao, Wei
- 机构: School of Mathematical Sciences; Department of Economics; Institute of Applied Mathematics; Department of Mathematics
- 来源:arXiv 2018
- ABSOLUTELY CONTINUOUS CURVES IN FINSLER-LIKE SPACES被引量:45收藏
- 作者:Zhang, Fue Zhao, Wei
- 机构: Department of Mathematics; Department of Mathematics
- 来源:arXiv 2023
- HARDY INEQUALITIES WITH BEST CONSTANTS ON FINSLER METRIC MEASURE MANIFOLDS被引量:43收藏
- 作者:Zhao, Wei
- 机构: Department of Mathematics
- 来源:arXiv 2019
- On the geometry of irreversible metric-measure spaces: Convergence, stability and analytic aspects被引量:39收藏
- 作者:Kristály, Alexandru Zhao, Wei
- 机构: Department of Economics; Institute of Applied Mathematics; Department of Mathematics
- 来源:arXiv 2021
- Nonlinear spectrums of finsler manifolds被引量:35收藏
- 作者:Kristály, Alexandru Shen, Zhongmin Yuan, Lixia Zhao, Wei
- 机构: Department of Economics; Institute of Applied Mathematics; Department of Mathematical Sciences; School of Mathematics and Physics; Department of Mathematics
- 来源:arXiv 2019
- 关键词:Geometry - Sobolev spaces
- INTEGRAL CURVATURE BOUNDS AND DIAMETER ESTIMATES ON FINSLER MANIFOLDS被引量:31收藏
- 作者:Zhao, Wei
- 机构: Department of Mathematics
- 来源:arXiv 2017
- Hardy type inequalities on closed manifolds via ricci curvature被引量:28收藏
- 作者:Meng, Canjun Wang, Han Zhao, Wei
- 机构: Department of Mathematics
- 来源:arXiv 2019
- Improved hardy and rellich inequalities on nonreversible finsler manifolds被引量:27收藏
- 作者:Yuan, Lixia Zhao, Wei Shen, Yibing
- 机构: School of Mathematics and Physics; Department of Mathematics; School of Mathematics
- 来源:arXiv 2017
- Lower bounds for eigenvalues of finsler manifolds被引量:27收藏
- 作者:SHEN, ZHONGMIN YUAN, LIXIA ZHAO, WEI
- 机构: Department of Mathematical Sciences; School of Mathematics and Physics; Department of Mathematics
- 来源:arXiv 2018
- 关键词:Eigenvalues and eigenfunctions
- On a curvature flow in a band domain with unbounded boundary slopes被引量:25收藏
- 作者:Yuan, Lixia Zhao, Wei
- 机构: Mathematics and Science College; Department of Mathematics
- 来源:arXiv 2020
- Dimension-like functions and nonlinear spectrums of Finsler manifolds被引量:25收藏
- 作者:Shen, Zhongmin Zhao, Wei
- 机构: Department of Mathematical Sciences; Department of Mathematics
- 来源:arXiv 2018
- 关键词:Boundary value problems - Sobolev spaces
- SHARP UNCERTAINTY PRINCIPLES ON GENERAL FINSLER MANIFOLDS被引量:11收藏
- 作者:Huang, Libing Kristaly, Alexandru Zhao, Wei
- 机构:Nankai Univ;Nankai Univ;Babes Bolyai Univ;Obuda Univ;East China Univ Sci & Technol
- 来源:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2020
- 关键词:Uncertainty principles Caffarelli-Kohn-Nirenberg interpolation inequality Heisenberg-Pauli-Weyl inequality Hardy inequality Finsler manifold reversibility sharp constant rigidity
- Hardy Inequalities with Best Constants on Finsler Metric Measure Manifolds被引量:9收藏
- 作者:Zhao, Wei
- 机构:East China Univ Sci & Technol
- 来源:JOURNAL OF GEOMETRIC ANALYSIS 2021
- 关键词:Hardy inequality Best constant Finsler manifold Riemannian manifold Metric measure manifold p-Laplacian Subharmonic function
- A generic functional inequality and Riccati pairs: an alternative approach to Hardy-type inequalities被引量:8收藏
- 作者:Kajanto, Sandor Kristaly, Alexandru Peter, Ioan Radu Zhao, Wei
- 机构:Babes Bolyai Univ;Babes Bolyai Univ;Obuda Univ;Tech Univ Cluj Napoca;East China Univ Sci & Technol
- 来源:MATHEMATISCHE ANNALEN 2024
- 关键词:26D10 58J05 58J60 35A23 49R05 46E35
- On the geometry of irreversible metric-measure spaces: Convergence, stability and analytic aspects被引量:7收藏
- 作者:Kristaly, Alexandru Zhao, Wei
- 机构:Babes Bolyai Univ;Obuda Univ;East China Univ Sci & Technol
- 来源:JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 2022
- 关键词:Irreversible metric space Gromov-Hausdorff topology Optimal transport Weak curvature-dimension condition Finsler manifold
- Hardy type inequalities on closed manifolds via Ricci curvature被引量:6收藏
- 作者:Meng, Canjun Wang, Han Zhao, Wei
- 机构:East China Univ Sci & Technol
- 来源:PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 2021
- 关键词:Hardy inequality best constant closed manifold weighted Ricci curvature weighted Riemannian manifold p-Laplacian
- Some formulas of Santalo type in Finsler geometry and its applications被引量:4收藏
- 作者:Lixia, Yuan Zhao, Wei
- 机构:Fudan Univ;E China Univ Sci & Technol
- 来源:PUBLICATIONES MATHEMATICAE-DEBRECEN 2015
- 关键词:Finsler manifold Santalo's formula Croke's isoperimetric inequality the first eigenvalue finiteness theorem
- Improved Hardy and Rellich inequalities on nonreversible Finsler manifolds被引量:4收藏
- 作者:Yuan, Lixia Zhao, Wei Shen, Yibing
- 机构:Shanghai Normal Univ;East China Univ Sci & Technol;Zhejiang Univ
- 来源:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2018
- 关键词:Hardy inequality Rellich inequality Nonreversible Finsler manifold Sharp constant
- Homotopy finiteness theorems for Finsler manifolds被引量:3收藏
- 作者:Zhao, Wei
- 机构:E China Univ Sci & Technol
- 来源:PUBLICATIONES MATHEMATICAE-DEBRECEN 2013
- 关键词:Finsler manifold finiteness theorem Gromov-Hausdorff distance LGC space contractibility radius
- Nonlinear spectrums of Finsler manifolds被引量:3收藏
- 作者:Kristaly, Alexandru Shen, Zhongmin Yuan, Lixia Zhao, Wei
- 机构:Babes Bolyai Univ;Obuda Univ;Indiana Univ Purdue Univ;Shanghai Normal Univ;East China Univ Sci & Technol
- 来源:MATHEMATISCHE ZEITSCHRIFT 2022
- 关键词:Eigenvalue Eigenfunction Finsler manifold Sobolev space Lusternik-Schnirelmann category Krasnoselskii genus Essential dimension Lebesgue covering dimension
- Sharp Hardy Inequalities via Riemannian Submanifolds被引量:2收藏
- 作者:Chen, Yunxia Leung, Naichung Conan Zhao, Wei
- 机构:East China Univ Sci & Technol;Chinese Univ Hong Kong;Chinese Univ Hong Kong
- 来源:JOURNAL OF GEOMETRIC ANALYSIS 2022
- 关键词:Hardy inequality Optimal constant Minimal submanifold Weak mean convexity Ricci curvature Fermi coordinates
- Integral curvature bounds and diameter estimates on Finsler manifolds被引量:2收藏
- 作者:Zhao, Wei
- 机构:East China Univ Sci & Technol
- 来源:SCIENCE CHINA-MATHEMATICS 2021
- 关键词:integral curvature Finsler manifold Myers theorem
- Gradient flows in asymmetric metric spaces and applications被引量:2收藏
- 作者:Ohta, Shin-ichi Zhao, Wei
- 机构:Osaka Univ;RIKEN Ctr Adv Intelligence Project AIP;East China Univ Sci & Technol
- 来源:ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE 2025
- A Cheeger finiteness theorem for Finsler manifolds被引量:1收藏
- 作者:Zhao, Wei Shen, Yibing
- 机构:E China Univ Sci & Technol;E China Univ Sci & Technol;Zhejiang Univ
- 来源:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2016
- 关键词:Finsler manifold Finiteness theorem Injectivity radius Center of mass
- On the Gauss-Bonnet-Chern formula for real Finsler vector bundles被引量:1收藏
- 作者:Zhao, Wei Yuan, Lixia Shen, Yibing
- 机构:E China Univ Sci & Technol;Fudan Univ;Zhejiang Univ
- 来源:DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 2016
- 关键词:The Gauss-Bonnet-Chern theorem Real Finsler vector bundles
- ON A CURVATURE FLOW IN A BAND DOMAIN WITH UNBOUNDED BOUNDARY SLOPES被引量:1收藏
- 作者:Yuan, Lixia Zhao, Wei
- 机构:Shanghai Normal Univ;East China Univ Sci & Technol
- 来源:DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 2022
- 关键词:Anisotropic curvature flow cup-like traveling wave asymptotic behavior
- A Gauss-Bonnet-Chern theorem for complex Finsler manifolds被引量:1收藏
- 作者:Zhao Wei
- 机构:E China Univ Sci & Technol
- 来源:SCIENCE CHINA-MATHEMATICS 2016
- 关键词:complex Finsler manifold the Gauss-Bonnet-Chern theorem transgression method
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- 关于本科几何课程教学方法的探讨被引量:0收藏
- 作者:赵唯 陈云霞
- 机构:华东理工大学理学院
- 来源:《高等数学研究》 2021
- 关键词:解析几何 微分几何 微分流形
- 摘要:本文主要探讨了本科教育中的几何课程的教学方法.我们对开课的时间安排、不同课程的衔接、课程的背景介绍、当今几何的发展以及课后安排这几个方面进行分析和总结,旨在得到优良的教学结构.
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