Reverse conformally invariant Sobolev inequalities on the sphere
Résumé
We consider the optimization problem corresponding to the sharp constant in a conformally invariant Sobolev inequality on the n-sphere involving an operator of order 2s > n. In this case the Sobolev exponent is negative. Our results extend existing ones to noninteger values of s and settle the question of validity of a corresponding inequality in all dimensions n ≥ 2.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)