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SUMMARY:The Rabinowitz continuum of subcritical Gelfand problems and free 
 boundary-type equations arising in plasma physics.
DTSTART:20260421T120000Z
DTEND:20260421T130000Z
DTSTAMP:20260411T202100Z
UID:indico-event-14815@indico.math.cnrs.fr
DESCRIPTION:Speakers: Daniele Bartolucci (Rome "Tor Vergata")\n\nThe quali
 tative behavior of the Rabinowitz unbounded continuum of subcritical Gelfa
 nd problems is well known on balls in any dimension. We don't know of any 
 such sharp and detailed description otherwise\, which is our motivation to
  look for a new approach to the problem. The underlying idea is to describ
 e solutions of Gelfand problems via suitably defined constrained problems 
 of free boundary-type arising in plasma physics and to replace the usual $
 L^\\infty$ norm of the solution with the energy of the plasma. Toward this
  goal\, we first solve a long standing open problem of independent interes
 t about the uniqueness of solutions of Grad-Shafranov type equations. On a
  ball in any dimension\, we come up as expected with a bell-shaped profile
  of the full branch of solutions of the Gelfand problem.\n\nhttps://indico
 .math.cnrs.fr/event/14815/
LOCATION:Fokko (ICJ)
URL:https://indico.math.cnrs.fr/event/14815/
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