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UID:20251121T010510EST-1660XXgccf@132.216.98.100
DTSTAMP:20251121T060510Z
DESCRIPTION:Title: News on the Moser-Trudinger inequality: from sharp estim
 ates to the Leray-Schauder degree.\n\nAbstract: The existence of critical 
 points for the Moser-Trudinger inequality for large energies has been open
  for a long time. We will first show how a collaboration with G. Mancini a
 llows to recast the Moser-Trudinger inequality and the existence of its ex
 tremals (originally due to L. Carleson and A. Chang) under a new light\, b
 ased on sharp energy estimate. Building upon a recent subtle work of O. Dr
 uet and P-D. Thizy\, in a work in progress with O. Druet\, A. Malchiodi an
 d P-D. Thizy\, we use these estimates to compute the Leray-Schauder degree
  of the Moser-Trudinger equation (via a suitable use of the Poincaré-Hopf 
 theorem)\, hence proving that for any bounded non-simply connected domain 
 the Moser-Trudinger inequality admits critical points of arbitrarily high 
 energy. In a work in progress with F. De Marchis\, O. Druet\, A. Malchiodi
  and P-D. Thizy\, we expect to use a variational argument to treat the cas
 e of a closed surface.\n
DTSTART:20190503T173000Z
DTEND:20190503T183000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Luca Martinazzi  (University of Padua)
URL:/mathstat/channels/event/luca-martinazzi-universit
 y-padua-296477
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