  We study multicomponent coagulation via the Smoluchowski coagulation equation
under non-equilibrium stationary conditions induced by a source of small
clusters. The coagulation kernel can be very general, merely satisfying certain
power law asymptotic bounds in terms of the total number of monomers in a
cluster. The bounds are characterized by two parameters and we extend previous
results for one-component systems to classify the parameter values for which
the above stationary solutions do or do not exist. Moreover, we also obtain
criteria for the existence or non-existence of solutions which yield a constant
flux of mass towards large clusters.
