Higher integrability and approximation of minimal currents

Camillo De Lellis; Emanuele Nunzio Spadaro

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arXiv · 0910.5878

Higher integrability and approximation of minimal currents

Camillo De Lellis·Emanuele Nunzio Spadaro

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Abstract

We give a new, simpler proof of the main approximation theorem for area minimizing current contained in Almgren's Big regularity paper. Our proof relies on a new estimate concerning the higher integrability of the quantity called here the excess density, which in turn we link to an analogous property of harmonic multiple valued functions.

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Camillo De Lellis, Emanuele Nunzio Spadaro. 2013-06-07. Higher integrability and approximation of minimal currents. https://arxiv.org/abs/0910.5878

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