[CvGmt News] Seminari Calcolo delle Variazioni
alberti at mail.dm.unipi.it
alberti at mail.dm.unipi.it
Wed Mar 9 13:58:34 CET 2005
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/
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