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SUMMARY:Boundary regularity of optimal sets for the critical buckling load
  of clamped plates - Mickaël Nahon (Université Grenoble Alpes)
DTSTART:20260202T155000Z
DTEND:20260202T163000Z
UID:TALK239593@talks.cam.ac.uk
DESCRIPTION:A long-standing conjecture in spectral optimization is whether
  the critical buckling load (the first eigenvalue of the bilaplacian with 
 respect to the laplacian) under area constraint is minimal on a disk. It i
 s known from an argument of Willms and Weinberger that a sufficiently smoo
 th optimal set must be a disk.\nIn this talk\, I will explain a recent res
 ult on the regularity of a fourth order free boundary problem that applies
  to this question. A special feature of this free boundary problem is that
  the boundary may present cusp points and angular points of opening 1.43pi
 .\nThis is a joint work with Jimmy Lamboley
LOCATION:Seminar Room 1\, Newton Institute
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