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Centre for Geometric Analysis Seminar Series
September 25, 2018 @ 11:30 am - 12:30 pm
Dr Yann Bernard (Monash University)
Uniform Regularity Results for Critical and Subcritical Surface Energies
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 ε-regularity estimates which do not degenerate as the Lagrangians approach the critical regime given by the Willmore integrand. This is joint-work with Tristan Rivière.