Nonlinear elliptic equations with BMO coefficients in Reifenberg domains ✩

We develop a unifying method to obtain the interior and boundary estimates for the weak solution of a nonlinear elliptic partial differential equation of p-Laplacian type with BMO coefficients in a δ-Reifenberg flat domain. Our results greatly improve the known results for such equations. © 2007 Elsevier Inc. All rights reserved.