  We study the existence of solutions to the equation $-\Gd_pu+g(x,u)=\mu$ when
$g(x,.)$ is a nondecreasing function and $\gm$ a measure. We characterize the
good measures, i.e. the ones for which the problem as a renormalized solution.
We study particularly the cases where $g(x,u)=\abs x^{\beta}\abs u^{q-1}u$ and
$g(x,u)=\abs x^{\tau}\rm{sgn}(u)(e^{\tau\abs u^\lambda}-1)$. The results state
that a measure is good if it is absolutely continuous with respect to an
appropriate Lorentz-Bessel capacities.
