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Turkish Journal of Mathematics

DOI

10.3906/mat-1301-10

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.

First Page

252

Last Page

266

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