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arXiv · 1807.06239

Almgren's center manifold in a simple setting

Camillo De Lellis
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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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Camillo De Lellis. 2018-07-17. Almgren's center manifold in a simple setting. https://arxiv.org/abs/1807.06239

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