In this paper we prove
the comparison principle for viscosity
solutions of second order, degenerate elliptic
pdes with a discontinuous, inhomogeneous term having
discontinuities on Lipschitz surfaces.
It is shown that appropriate sub and supersolutions $u,v$ of a
Dirichlet type boundary value problem satisfy
$u\leq v$ in $\Omega$. In particular, continuous viscosity
solutions are unique. We also give examples of existence results and
apply the comparison principle to prove convergence of approximations.