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SUMMARY:Antonio De Rosa (New York University)
DTSTART:20200529T123000Z
DTEND:20200529T133000Z
DTSTAMP:20260423T041158Z
UID:GandT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GandT/5/">Un
 iqueness of critical points of the anisotropic isoperimetric problem</a>\n
 by Antonio De Rosa (New York University) as part of The London geometry an
 d topology seminar\n\n\nAbstract\nThe anisotropic isoperimetric problem co
 nsists in enclosing a prescribed volume in a closed hypersurface with leas
 t anisotropic energy. Although its solutions\, referred to as Wulff shapes
 \, are well understood\, the characterization of the associated critical p
 oints is more subtle. In this talk we present a uniqueness result: Given a
 n elliptic integrand of class $C^3$\, we prove that finite unions of disjo
 int (but possibly mutually tangent) open Wulff shapes with equal radii are
  the only volume-constrained critical points of the anisotropic surface en
 ergy among all sets with finite perimeter and reduced boundary almost equa
 l to its closure. To conclude\, we will discuss a quantitative stability f
 or this rigidity theorem.\nJoint work with Mario Santilli and Slawomir Kol
 asinski.\n
LOCATION:https://researchseminars.org/talk/GandT/5/
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