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

Luca Capogna, University of Arkansas
Giovanna Citti, University of Bologna
Maria Manfredini, University of Bologna

Abstract

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