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.

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.

We prove that Lipschitz intrinsic graphs in the Heisenberg groups H , with n > 1, which are vanishing viscosity solutions of the minimal surface equation are smooth.

Mathematical models for pollutant transport in semi-infinite aquifers are based on the advection-dispersion equation (ADE) and its variants. This study employs the ADE incorporating time-dependent dispersion and velocity and space-time dependent source and sink, expressed by one function. The dispersion theory allows mechanical dispersion to be directly proportional to seepage velocity. Initial...