Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1301-10
Keywords
Quasilinear degenerate elliptic system, Hölder regularity, Hörmander's vector fields, VMO_X function, natural growth
First Page
252
Last Page
266
Recommended Citation
DONG, Y, & CUI, X (2014). Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems. Turkish Journal of Mathematics 38 (2): 252-266. https://doi.org/10.3906/mat-1301-10
