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Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1

  • Luca Capogna EMAIL logo , Giovanna Citti and Maria Manfredini
Published/Copyright: March 1, 2011
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Journal für die reine und angewandte Mathematik
From the journal Volume 2010 Issue 648

Abstract

We prove that Lipschitz intrinsic graphs in the Heisenberg groups , with n > 1, which are vanishing viscosity solutions of the minimal surface equation, are smooth and satisfy the PDE in a strong sense.

Received: 2007-11-29
Revised: 2009-03-03
Published Online: 2011-03-01
Published in Print: 2010-November

© Walter de Gruyter Berlin · New York 2010

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