  In this article we consider cloaking for a quasi-linear elliptic partial
differential equation of divergence type defined on a bounded domain in
$\mathbb{R}^N$ for $N=2,3$. We show that a perfect cloak can be obtained via a
singular change of variables scheme and an approximate cloak can be achieved
via a regular change of variables scheme. These approximate cloaks though
non-degenerate are anisotropic. We also show, within the framework of
homogenization, that it is possible to get isotropic regular approximate
cloaks. This work generalizes to quasi-linear settings previous work on
cloaking in the context of Electrical Impedance Tomography for the conductivity
equation.
