On Almgren's center manifold: regularity of minimal surfaces without Schauder

  • Emanuele Spadaro (Universität Bonn)
A3 01 (Sophus-Lie room)


Motivated by the study of Almgren's center manifold in the regularity of higher codimension mass-minimizing currents, I will present a new proof of the higher regularity ($C^{3, \alpha}$) of multiplicity one minimal surfaces without using the non-parametric Schauder's estimates. This is a joint work with C. De Lellis.

Anne Dornfeld

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