Lecture Notes
Inserted: 17 jul 2018
Last Updated: 12 apr 2026
Journal: Harmonic Analysis and Applications, volume 27 of IAS/Park City Mathematics Series
Pages: 257-288
Year: 2020
Lectures held at Park City 9-13 July 2018
Abstract:
We aim at explaining the most basic ideas underlying two fundamental results in the regularity theory of area minimizing oriented surfaces: De Giorgi's celebrated $\varepsilon$-regularity theorem and Almgren's center manifold. Both theorems will be proved in a very simplified situation, which however allows to illustrate some of the most important PDE estimates.
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