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SUMMARY:A quantitative result for the k-Hessian equation. - Alba Lia Masie
 llo (Istituto Nazionale di Alta Matematica\, Rome)
DTSTART:20260205T162000Z
DTEND:20260205T163500Z
UID:TALK241579@talks.cam.ac.uk
DESCRIPTION:We consider a symmetrization procedure for convex function in 
 $\\mathbb{R}^n$ that preserves mixed volumes of the sublevel sets\, and fo
 r which a P&oacute\;lya-Szegő type inequality holds. We will obtain a sta
 bility improvement for this P&oacute\;lya-Szegő type inequality\,bounding
  the P&oacute\;lya-Szegő deficit in terms of the Hausdor asymmetry index.
  This result allows us to prove a quantitative version of the Faber-Krahn 
 and Saint-Venant inequalities for the k-Hessian equation\, at least in the
  case when the aforementioned inequalities hold.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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