Calculus of Variations and Geometric Measure Theory
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C. De Lellis

Almgren's center manifold in a simple setting

created by delellis on 17 Jul 2018
modified on 18 Jul 2018


Lecture Notes

Inserted: 17 jul 2018
Last Updated: 18 jul 2018

Year: 2018

Lectures held at Park City 9-13 July 2018


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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