  We model the gravitational collapse of heavy massive shells including its
main quantum corrections. Among these corrections, quantum improvements coming
from Quantum Einstein Gravity are taken into account, which provides us with an
effective quantum spacetime. Likewise, we consider dynamical Hawking radiation
by modeling its back-reaction once the horizons have been generated. Our
results point towards a picture of gravitational collapse in which the
collapsing shell reaches a minimum non-zero radius (whose value depends on the
shell initial conditions) with its mass only slightly reduced. Then, there is
always a rebound after which most (or all) of the mass evaporates in the form
of Hawking radiation. Since the mass never concentrates in a single point, no
singularity appears.
