  A cold atomic gas with an inverted population on a transition coupled to a
field mode of an optical resonator constitutes a generic model of a laser. For
quasi-continuous operation, external pumping, trapping and cooling of the atoms
is required to confine them in order to achieve enough gain inside the
resonator. As inverted atoms are high-field seekers in blue detuned light
fields, tuning the cavity mode to the blue side of the atomic gain transition
allows for combining lasing with stimulated cavity cooling and dipole trapping
of the atoms at the antinodes of the laser field. We study such a configuration
using a semiclassical description of particle motion along the cavity axis. In
extension of earlier work we include free space atomic and cavity decay as well
as atomic dipole-dipole interactions and their corresponding forces. We show
that for a proper choice of parameters even in the bad cavity limit the atoms
can create a sufficiently strong field inside the resonator such that they are
trapped and cooled via the superradiant lasing action with less than one photon
on average inside the cavity.
