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.
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, YAN and CUI, XUEWEI
(2014)
"Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems,"
Turkish Journal of Mathematics: Vol. 38:
No.
2, Article 8.
https://doi.org/10.3906/mat-1301-10
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss2/8
