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.
Citti G., Manfredini M., Capogna L. (2010). Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups H^n. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK, 648, 75-110 [10.1515/CRELLE.2010.080].
Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups H^n
CITTI, GIOVANNA;MANFREDINI, MARIA;
2010
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.File in questo prodotto:
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