The logarithmic HLS inequality for systems on compact manifolds

DOI10.1016/j.jfa.2004.09.007zbMath1082.58034OpenAlexW1994965530MaRDI QIDQ2573502

Itai Shafrir, Gershon Wolansky

Publication date: 22 November 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.09.007

zbMATH Keywords

logarithmic potentialoptimal constantsHardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Linear programming (90C05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) (G)-structures (53C10)

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Cites Work

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• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
• On the solutions of Liouville systems
• Conformally invariant systems of nonlinear PDE of Liouville type
• Moser-Trudinger and logarithmic HLS inequalities for systems
• Moser–Trudinger type inequalities for systems in two dimensions
• Moser-Trudinger inequalities and Liouville systems
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality

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