The logarithmic HLS inequality for systems on compact manifolds
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Publication:2573502
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
Linear programming (90C05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) (G)-structures (53C10)
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Cites Work
- Unnamed Item
- Unnamed Item
- 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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