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We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of{\mathcal{A}}   -harmonic approximation. The model case is the following non-degenerate  p -sub-Laplace system with super-quadratic natural growth with respect to the horizontal gradients  Xu :

Partial Hölder continuity for nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group