Duality and best constant for a Trudinger-Moser inequality involving probability measures

DOI10.4171/JEMS/462zbMath1300.26017OpenAlexW2015904334MaRDI QIDQ461273

Takashi Suzuki, Tonia Ricciardi

Publication date: 10 October 2014

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/jems/462

zbMATH Keywords

mean field equationTrudinger-Moser inequalitylogarithmic Hardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Inequalities for sums, series and integrals (26D15) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Kinetic theory of stellar systems, two-dimensional vortices and HMF model
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
• Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
• Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
• A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II

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