2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159316We prove that Lipschitz intrinsic graphs in the Heisenberg groups $H^n$, with $n>1$, which are vanishing viscosity solutions of the minimal surface equation are smooth.Analysis of PDEsDifferential Geometry35H20; 53C17Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups $H^n, n>1$text