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In the product space H^n \times R; we obtain uniform a priori C^0 horizontallength estimates, uniform a priori C^1 boundary gradient estimates, as well asuniform modulus of continuity, for a class of horizontal minimal equations. Intwo independent variables, we derive a certain uniform global a priori C^1estimates and we infer an existence result.

Uniform A Priori Estimates For A Class Of Horizontal Minimal Equations