Lundi 5 Décembre
Heure: 
13:30  15:00 
Lieu: 
Salle B405, bâtiment B, LAGA, Institut Galilée, Université Paris 13 
Résumé: 
PM  EDP  The HangYang conjecture for GJMS equations on nsphere  
Description: 
Ngô Quon AnhIn this talk, I will describe a new approach to obtain Liouvilletype results for positive smooth solutions to a linearly perturbed subcritical/critical GJMS equation of order 2m on the unit nsphere with n&lt;2m. This is done by exploiting some new property of the nsphere.&nbsp; 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 byproduct, we obtain several sharp Sobolev inequalities for GJMS operators on the nsphere. This is joint work with Ali Hyder. 

