  Inwardly curved polymer brushes are present in cylindrical and spherical
micelles or in membranes tubes and vesicles decorated with anchored polymers,
and influence their stability. We consider such polymer brushes in good solvent
and show that previous works, based on a self-similar concentric structure of
the brush, are physically inconsistent. We use scaling laws to derive very
simply the leading term of the free energy in the high curvature limit, where
the osmotic pressure is the relevant physical ingredient. We also derive the
complete conformation at all curvatures using a self-consistent field approach.
The free energy is computed therefrom using a local scaling description.
