An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature

DOI10.1007/s10114-016-5129-8zbMath1361.46027OpenAlexW2413149990WikidataQ115385210 ScholiaQ115385210MaRDI QIDQ327295

Yan Qing Dong, Qiao-Hua Yang

Publication date: 19 October 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5129-8

zbMATH Keywords

Riemannian manifoldnegative curvatureHardy inequalityMoser-Trudinger inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (11)

Singular Hardy–Adams inequalities on hyperbolic spaces of any even dimension ⋮ Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation ⋮ Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension ⋮ Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions ⋮ Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four ⋮ Improved Hardy-Adams inequality on hyperbolic space of dimension four ⋮ Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces ⋮ Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian ⋮ A sharp Trudinger-Moser inequality on any bounded and convex planar domain ⋮ Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature ⋮ Singular Hardy-Trudinger-Moser inequality and the existence of extremals on the unit disc

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