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UID:20250813T101422EDT-3126SKHK9n@132.216.98.100
DTSTAMP:20250813T141422Z
DESCRIPTION:Title: On the maximization of the first (non trivial) Neumann e
 igenvalue of the Laplacian under perimeter constraint\n\nAbstract: In this
  talk I will present some recent results obtained in collaboration with A.
  Henrot and A. Lemenant (both in Nancy\, France)\, on the maximization of 
 the first (non trivial) Neumann eigenvalue\, under perimeter constraint\, 
 in dimension 2. Without any further assumption\, the problem is trivial\, 
 since the supremum is +∞. On the other hand\, restricting to the class of 
 convex domains\, the problem becomes interesting: the maximum exists\, but
  neither its value nor the optimal shapes are known. In 2009 R.S. Laugesen
  and B.A. Siudeja conjectured that the maximum among convex sets should be
  attained at squares and equilateral triangles. We prove that the conjectu
 re is true for convex planar domains having two axes of symmetry.\n\n \n\n
 Seminar Spectral Geometry\n	Visite the Web site: https://archimede.mat.ulav
 al.ca/agirouard/SpectralClouds/\n
DTSTART:20220228T170000Z
DTEND:20220228T180000Z
SUMMARY:Ilaria Lucardesi (ECL)
URL:/mathstat/channels/event/ilaria-lucardesi-ecl-3379
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