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In this paper, we establish Holder regularity for weak solutions of a class of diagonal divergence quasilinear degenerate elliptic systems of Hormander's vector fields when the coefficients belong to the class of VMOX functions with respect to x and uniformly with respect to u, and the lower order terms satisfy a natural growth condition.

Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems