Sharp constant for Poincaré-type inequalities in the hyperbolic space

DOI10.1007/s40306-018-0269-9zbMath1426.26038arXiv1607.00154OpenAlexW3104475068MaRDI QIDQ2328168

Nguyen Van Hoang, Quoc-Anh Ngô

Publication date: 9 October 2019

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00154

zbMATH Keywords

Poincaré inequalityhyperbolic spacesharp constantsymmetrization method

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (13)

Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs ⋮ The sharp Sobolev type inequalities in the Lorentz-Sobolev spaces in the hyperbolic spaces ⋮ On some strong Poincaré inequalities on Riemannian models and their improvements ⋮ An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds ⋮ Poincaré and Hardy Inequalities on Homogeneous Trees ⋮ The sharp higher-order Lorentz-Poincaré and Lorentz-Sobolev inequalities in the hyperbolic spaces ⋮ New sharp Hardy and Rellich type inequalities on Cartan–Hadamard manifolds and their improvements ⋮ Improved multipolar Poincaré-Hardy inequalities on Cartan-Hadamard manifolds ⋮ On higher order Poincaré inequalities with radial derivatives and Hardy improvements on the hyperbolic space ⋮ Nonexistence results for parabolic equations involving the \(p\)-Laplacian and Hardy-Leray-type inequalities on Riemannian manifolds ⋮ Second order Sobolev type inequalities in the hyperbolic spaces ⋮ Sharp constant for Poincaré-type inequalities in the hyperbolic space ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds

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• SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)

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