Generalized Hardy Type and Caffarelli–Kohn–Nirenberg Type Inequalities on Finsler Manifolds

DOI10.1142/S0129167X20501098zbMath1456.53061arXiv2101.00096OpenAlexW3088866487MaRDI QIDQ5146666

Shihshu Walter Wei, Bing Ye Wu

Publication date: 26 January 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00096

zbMATH Keywords

Hardy inequalityFinsler manifoldCaffarelli-Kohn-Nirenberg inequalityradial Ricci curvatureradial flag curvature

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Related Items

Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds ⋮ Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications

Cites Work

• Relative volume comparison theorems in Finsler geometry and their applications
• Comparison theorems in Finsler geometry and their applications
• Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds
• Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities
• Volume form and its applications in Finsler geometry
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