Sharp remainder of the Poincaré inequality

DOI10.1090/PROC/15119zbMath1446.35010OpenAlexW3016043871MaRDI QIDQ5117320

Tohru Ozawa, Durvudkhan Suragan

Publication date: 20 August 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15119

zbMATH Keywords

Heisenberg groupCarnot groupoptimal constant

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Fisher–KPP equation on the Heisenberg group ⋮ A remark on Davies' Hardy inequality ⋮ On Fisher's equation with the fractionalp‐Laplacian ⋮ A reaction-diffusion equation on stratified groups ⋮ Poincaré inequalities with exact missing terms on homogeneous groups ⋮ Existence and uniqueness of classical paths under quadratic potentials

Cites Work

• On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups
• Dirichlet and Neumann eigenvalue problems on CR manifolds
• Hardy inequalities on homogeneous groups. 100 years of Hardy inequalities
• A Hardy inequality with remainder terms in the Heisenberg group and the weighted eigenvalue problem
• Some weighted Poincare inequalities
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• INEQUALITIES ASSOCIATED WITH DILATIONS
• An embedding theorem and the harnack inequality for nonlinear subelliptic equations

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