  We consider here the general conditions for the stability of brane stars that
obey a so called a "minimal setup": the nonlocal anisotropic stress and energy
flux are everywhere absent, and the only permitted Weyl correction is the
interior solution of the nonlocal energy density. Along with a series of simple
conditions, we show that the Germani-Maartens solution with a constant density
sets up the upper bound for the compactness of that particular class of brane
stars. The general demonstration is based upon the properties of the interior
solutions of the stars, although we also show that the minimal setup implies a
Schwarzschild exterior.
