Duality and best constant for a Trudinger–Moser inequality involving probability measures
Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1327-1348.

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We consider the Trudinger–Moser type functional
DOI : 10.4171/jems/462
Classification : 26-XX, 00-XX, 35-XX
Keywords: Trudinger–Moser inequality, mean field equation, logarithmic Hardy-Littlewood-Sobolev inequality
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     author = {Tonia Ricciardi and Takashi Suzuki},
     title = {Duality and best constant for a {Trudinger{\textendash}Moser} inequality involving probability measures},
     journal = {Journal of the European Mathematical Society},
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Tonia Ricciardi; Takashi Suzuki. Duality and best constant for a Trudinger–Moser inequality involving probability measures. Journal of the European Mathematical Society, Tome 16 (2014) no. 7, pp. 1327-1348. doi : 10.4171/jems/462. http://geodesic.mathdoc.fr/articles/10.4171/jems/462/

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