  We consider the dynamics of the voter model and of the monomer-monomer
catalytic process in the presence of many ``competing'' inhomogeneities and
show, through exact calculations and numerical simulations, that their presence
results in a nontrivial fluctuating steady state whose properties are studied
and turn out to specifically depend on the dimensionality of the system, the
strength of the inhomogeneities and their separating distances. In fact, in
arbitrary dimensions, we obtain an exact (yet formal) expression of the order
parameters (magnetization and concentration of adsorbed particles) in the
presence of an arbitrary number $n$ of inhomogeneities (``zealots'' in the
voter language) and formal similarities with {\it suitable electrostatic
systems} are pointed out. In the nontrivial cases $n=1, 2$, we explicitly
compute the static and long-time properties of the order parameters and
therefore capture the generic features of the systems. When $n>2$, the problems
are studied through numerical simulations. In one spatial dimension, we also
compute the expressions of the stationary order parameters in the completely
disordered case, where $n$ is arbitrary large. Particular attention is paid to
the spatial dependence of the stationary order parameters and formal
connections with electrostatics.
