An end-point global gradient weighted estimate for quasilinear equations   in non-smooth domains
  A weighted norm inequality involving $A_1$ weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Certain gradient estimates in Lorentz-Morrey spaces below the natural exponent are also obtained as a consequence of our analysis. 
Karthik Adimurthi and Nguyen Cong Phuc
math.AP