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 sub-critical or critical. They are derived using uniform ϵ-regularity estimates which do not degenerate as the Lagrangians approach the critical regime given by the Willmore integrand.
Original language | English |
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Article number | 10 |
Number of pages | 39 |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 58 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Feb 2019 |