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

Authors: YAN DONG, XUEWEI CUI

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

Keywords: Quasilinear degenerate elliptic system, Hölder regularity, Hörmander's vector fields, VMO_X function, natural growth

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