  This paper establishes pointwise estimates up to boundary for the gradient of
weak solutions to a class of very singular quasilinear elliptic equations with
mixed data: \begin{cases} -\operatorname{div}(A(x,D u))=g-\operatorname{div} f
\quad & \mathrm{in} \quad \Omega \\ u= 0 \quad & \text{on} \ \partial \Omega,
\end{cases} where $\Omega \subset \mathbb{R}^n$ is sufficiently flat in the
sense of Reifenberg.
