Geodesic
Competing Symmetries, the Logarithmic HLS Inequality and Onofri's Inequality on Sn.
Geometric and functional analysis, Tome 2 (1992) no. 1, pp. 90-104.

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Mots-clés : Sobolev inequality, logarithmic Hardy-Littlewood-Sobolev inequality, transparent duality methods, Beckner’s -dimensional generalization of Onofri’s inequality 
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     author = {E. Carlen and M. Loss},
     title = {Competing {Symmetries,} the {Logarithmic} {HLS} {Inequality} and {Onofri's} {Inequality} on {Sn.}},
     journal = {Geometric and functional analysis},
     pages = {90--104},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {1992},
     zbl = {0754.47041},
     url = {http://geodesic.mathdoc.fr/item/GFA_1992__2_1_58136/}
}
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E. Carlen; M. Loss. Competing Symmetries, the Logarithmic HLS Inequality and Onofri's Inequality on Sn.. Geometric and functional analysis, Tome 2 (1992) no. 1, pp. 90-104. http://geodesic.mathdoc.fr/item/GFA_1992__2_1_58136/