Title of article :
Holder regularity for weak solutions of diagonal divergence quasilinear degenerate elliptic systems
Author/Authors :
DONG, YAN Northwestern Polytechnical University, Ministry of Education - Department of Applied Mathematics, Key Laboratory of Space Applied Physicsand Chemistry, China , CUI, XUEWEI Northwestern Polytechnical University, Ministry of Education - Department of Applied Mathematics, Key Laboratory of Space Applied Physicsand Chemistry, China
Abstract :
In this paper, we establish Holder regularity for weak solutions of a class of diagonal divergence quasilinear degenerate elliptic systems of H¨ormander’s vector fields when the coefficients belong to the class of V M OX 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 , Holder regularity , Hormander’s vector fields , V M OX function , natural growth
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
