  We obtain the global weighted $W^{1,p}$ estimates for weak solutions of
nonlinear elliptic equations over Reifenberg flat domains. Where nonlinearity
$A(x,z,\xi)$ is assumed to be local uniform continuous in $z$ and have small
BMO semi-norm in $x$. Moreover, we derive Besov regularity for solutions of a
class of special harmonic equations by making use of $W^{1,p}$ estimate.
  Keywords: global weighted $W^{1,p}$ estimates; quasilinear equations; Besov
regularity
