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UID:20260616T224303EDT-70458IFEVH@132.216.98.100
DTSTAMP:20260617T024303Z
DESCRIPTION:Title: Compactness results for elliptic equations with critical
  growth and Hardy weight\n	Abstract: In this talk we will consider a class 
 of elliptic PDEs with Hardy weight and Sobolev critical growth\, which are
  in general non-compact due to scale invariance. We want to arrive at suit
 able conditions which would ensure the compactness and this in turn will h
 elp establish the existence of solutions to these equations. We will start
  by describing the blow-up behaviour of a sequence of approximating soluti
 ons approaching our PDE and obtain optimal control on such a sequence. Nex
 t we will look at the interaction of the various terms in the Pohozaev ide
 ntity and calculate the blow-up rates. The compactness theorems will follo
 w from this. We will see that the location of the singularity\, be it in t
 he interior of the domain or on its boundary\, affects the analytical prop
 erties of the equation and makes the two situations quite different. When 
 the singularity is in the interior\, then a lower order perturbation suffi
 ces for high dimensions\, while the curvature of the boundary plays a cruc
 ial role if the singularity is on the boundary for high dimensions. This i
 s a joint work with Nassif Ghoussoub (UBC) and Frédéric Robert (Université
  de Lorraine).\n	\n	 \n
DTSTART:20181025T183000Z
DTEND:20181025T193000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Saikat Mazumdar (91ºÚÁÏÍø)
URL:/mathstat/channels/event/saikat-mazumdar-mcgill-un
 iversity-290957
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