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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Articles in the same Issue
- In memoriam Ernst Steinitz (1871–1928)
- Kuga-Satake abelian varieties of K3 surfaces in mixed characteristic
- Knotted holomorphic discs in
- Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1
- Big projective modules over noetherian semilocal rings
- On Néron-Raynaud class groups of tori and the capitulation problem
- Weil restriction and support varieties
- Smooth toric Deligne-Mumford stacks
Articles in the same Issue
- In memoriam Ernst Steinitz (1871–1928)
- Kuga-Satake abelian varieties of K3 surfaces in mixed characteristic
- Knotted holomorphic discs in
- Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1
- Big projective modules over noetherian semilocal rings
- On Néron-Raynaud class groups of tori and the capitulation problem
- Weil restriction and support varieties
- Smooth toric Deligne-Mumford stacks