Lundi 5 Décembre

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Lundi 5 Décembre
Heure: 13:30 - 15:00
Lieu: Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: PM - EDP - The Hang-Yang conjecture for GJMS equations on n-sphere -
Description: Ngô Quon AnhIn this talk, I will describe a new approach to obtain
Liouville-type results for positive smooth solutions to a linearly
perturbed subcritical/critical GJMS equation of order 2m on the
unit n-sphere with n<2m. This is done by exploiting some new
property of the n-sphere.  In the special case n=3 and m=2, such
the Liouville type result was recently conjectured by F. Hang and
P. Yang (Int. Math. Res. Not. IMRN, 2020). As a by-product, we
obtain several sharp Sobolev inequalities for GJMS operators on
the n-sphere. This is joint work with Ali Hyder.