  We study the boundary behaviour of solutions $u$ of $-\Delta_{N}u+
|u|^{q-1}u=0$ in a bounded smooth domain $\Omega\subset\mathbb R^{N}$ subject
to the boundary condition $u=0$ except at one point, in the range $q>N-1$. We
prove that if $q\geq 2N-1$ such a $u$ is identically zero, while, if
$N-1<q<2N-1$, $u$ inherits a boundary behaviour which either corresponds to a
weak singularity, or to a strong singularity. Such singularities are
effectively constructed.
