Interpolation between Brezis-Vázquez and Poincaré inequalities on nonnegatively curved spaces: sharpness and rigidities

DOI10.1016/j.jde.2018.11.013zbMath1411.53035arXiv1811.04200OpenAlexW2962997570MaRDI QIDQ1731863

Alexandru Kristály, Anikó Szakál

Publication date: 14 March 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04200

zbMATH Keywords

Poincaré inequalityBessel functionssharpnessextremalsFinsler manifoldBrezis-Vázquez inequality

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) PDEs on manifolds (35R01) PDEs with measure (35R06)

Related Items

Hardy inequalities with best constants on Finsler metric measure manifolds ⋮ Sharp Morrey–Sobolev inequalities and eigenvalue problems on Riemannian–Finsler manifolds with nonnegative Ricci curvature ⋮ On some strong Poincaré inequalities on Riemannian models and their improvements ⋮ Hardy type inequalities on closed manifolds via Ricci curvature ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds

Uses Software

• DLMF

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