Generalized Hardy Type and Caffarelli–Kohn–Nirenberg Type Inequalities on Finsler Manifolds,International Journal of Mathematics

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Generalized Hardy Type and Caffarelli–Kohn–Nirenberg Type Inequalities on Finsler Manifolds
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2020-09-25 , DOI: 10.1142/s0129167x20501098
Shihshu Walter Wei _{1,

2} , Bing Ye Wu _{1,

2}

Affiliation

In this paper we derive both local and global geometric inequalities on general Riemannnian and Finsler manifolds and prove generalized Caffarelli–Kohn–Nirenberg type and Hardy type inequalities on Finsler manifolds, illuminating curvatures of both Riemannian and Finsler manifolds influence geometric inequalities.

中文翻译：

Finsler 流形上的广义 Hardy 型和 Caffarelli-Kohn-Nirenberg 型不等式

在本文中，我们推导了一般黎曼流形和芬斯勒流形上的局部和全局几何不等式，并证明了芬斯勒流形上的广义 Caffarelli-Kohn-Nirenberg 型和 Hardy 型不等式，阐明了黎曼流形和 Finsler 流形的曲率影响几何不等式。

更新日期：2020-09-25

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