- Turkish Journal of Mathematics
- Vol: 38 Issue: 2
- Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems
Hölder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems
Authors : Yan Dogn, Xuewei Cui
Pages : 252-266
Doi:10.3906/mat-1301-10
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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 VMOX 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, VMOX function, natural growth