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UID:news479@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181228T232256
DTSTART;TZID=Europe/Zurich:20141210T170000
SUMMARY:Seminar Analysis: Davide Vittone (University of Padua)
DESCRIPTION:We consider the area functional for graphs in the sub-Riemannia
 n Heisenberg  group  and  study  minimizers  of  the  associated  Dirichle
 t  problem.   We  prove  that\,under a bounded slope condition on the boun
 dary datum\, there exists a unique minimizer and  that  this  minimizer  i
 s  Lipschitz  continuous.   We  also  provide  an  example  showing that\,
  in the first Heisenberg group\, Lipschitz regularity cannot be improved e
 ven under the bounded slope condition.  This is based on a joint work with
  A. Pinamonti\, F. SerraCassano and G. Treu.
X-ALT-DESC:\nWe consider the area functional for graphs in the sub-Riemanni
 an Heisenberg  group  and  study  minimizers  of  the  associated  Dirichl
 et  problem.   We  prove  that\,under a bounded slope condition on the bou
 ndary datum\, there exists a unique minimizer and  that  this  minimizer  
 is  Lipschitz  continuous.   We  also  provide  an  example  showing that\
 , in the first Heisenberg group\, Lipschitz regularity cannot be improved 
 even under the bounded slope condition.  This is based on a joint work wit
 h A. Pinamonti\, F. SerraCassano and G. Treu.
DTEND;TZID=Europe/Zurich:20141210T174500
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