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SUMMARY:Quantitative stability for minimizers of a Yamabe problem on manif
 olds with boundaries - Hanne Van Den Bosch (Universidad de Chile)
DTSTART:20260206T094500Z
DTEND:20260206T103000Z
UID:TALK239848@talks.cam.ac.uk
DESCRIPTION:The classical Yamabe problem seeks for a metric conformal to a
  given metric with constant scalar curvature. By rewriting the conformal f
 actor in a suitable way\, it is equivalent to minimizing the L&sup2\; norm
  of the gradient under a constraint on the L^2^* - norm. This talk concern
 s an analogous variational problem for manifolds with boundary introduced 
 by Escobar\, which seeks for metrics with zero scalar curvature in the int
 erior and constant mean curvature on the boundary. The variational formula
 tion for functions is very similar\, but the constraint is now on the boun
 dary values of the function. I will introduce the problem and show how a c
 ompactness argument of Engelstein-Neumayer-Spolaor can be adapted to give 
 the quantitative stability for minimizers of this problem.\nThis talk is b
 ased on joint work with Benjam&iacute\;n Borquez and Rayssa Caju.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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