Sobolev and Hardy-Littlewood-Sobolev inequalities
Résumé
This paper is devoted to improvements of Sobolev and Onofri inequalities. The additional terms involve the dual counterparts, i.e. Hardy-Littlewood-Sobolev type inequalities. We focus our attention on optimal constants, that can be achieved either by completion of the square methods or by using nonlinear flows, and provide various new estimates.
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