  We establish regularity results for critical points to energies of immersed
surfaces depending on the first and the second fundamental form exclusively.
These results hold for a large class of intrinsic elliptic Lagrangians which
are sub-critical or critical.
  They are derived using uniform $\epsilon-$regularity estimates which do not
degenerate as the Lagrangians approach the critical regime given by the
Willmore integrand
