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arXiv · 1711.07686

Uniform Regularity Results for Critical and Subcritical Surface Energies

Bernard Yann·Tristan Rivière
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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 $\epsilon-$regularity estimates which do not degenerate as the Lagrangians approach the critical regime given by the Willmore integrand

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Bernard Yann, Tristan Rivière. 2017-11-21. Uniform Regularity Results for Critical and Subcritical Surface Energies. https://arxiv.org/abs/1711.07686

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