[CvGmt News] Seminari Calcolo delle Variazioni

[alberti at mail.dm.unipi.it]

Compactness  results  for fourth order elliptic PDE's with exponential    growth
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   Seminari di calcolo delle variazioni

   when: Wednesday, March 9, at 4.30 pm [NOT the usual time!!]

   where: Dipartimento di Matematica, sala delle riunioni

   speaker: Olvier Druet (ENS, Lyon)

   title:  Compactness  results  for  fourth  order  elliptic  PDE's with
   exponential growth

   abstract:  On  four-dimensional  compact Riemmannian manifold, Paneitz
   discovered a fourth-order elliptic operator which has all the features
   of  the  Laplacian  in  dimension  2  (conformal invariance, curvature
   associated   to   this   conformal   invariance,   relation  with  the
   Gauss-Bonnet-Chern-formula). We will investigate the blow-up behaviour
   of  sequences  of  solutions  of  equations  involving  this  type  of
   operators.  We  shall  see  that  multi-bubbling  is  forbidden  which
   simplifies then a lot the analytical questions, compared to analoguous
   problems.  I  hope to give a rather complete proof of some compactness
   results for this type of equations.

Reference: http://www.dm.unipi.it/~alberti/files/altrepagine/SeminarioCVGMT/home.html

You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20050309/