  We focus on the spreading properties of solutions of monostable equations
with fast diffusion. The nonlinear reaction term involves a weak Allee effect,
which tends to slow down the propagation. We complete the picture of [3] by
studying the subtle case where acceleration does occur and is induced by a
combination of fast diffusion and of reactive growth. This requires the
construction of new elaborate sub and supersolutions thanks to some underlying
self-similar solutions.
