  We continue the study of the existence and stability of static spherical
membrane configurations in curved spacetimes. We first consider higher order
membranes described by a Lagrangian which, besides the Dirac term, includes a
term proportional to the scalar curvature of the world--volume ${}^{(3)}R$.
Notably, in this case, the equations of motion can be reduced to second order
ones and an effective potential analysis can be made. The conditions for
stability are then explicitly derived. We find a self--consistent static
spherical membrane, determining the spacetime generated by the membrane itself.
In this case we find, however, that the total energy of the membrane has to be
negative, and no {\it stable} equilibrium can be achieved. We then generalize
the discussion to a membrane described by a Lagrangian including all possible
second derivative terms. We conclude the paper with some discussion on the
generality of the results obtained.
