| Abstract: |
| 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 subcritical 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. |
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