A class of quasi-linear degenerate elliptic equations, which coefficient matrix satisfies VMO conditions uniformly with respect to for any given , is considered. It is shown that the gradient of its weak solution is -regular.
WANG Chunhua
, ZHENG Shenzhou. , {{custom_author.name_en}}. -Regularity for a Class of Degenerate Elliptic Equations with Discontinuous Coefficients. Journal of Systems Science and Mathematical Sciences, 2010, 30(2): 157-172 https://doi.org/10.12341/jssms08929