Fractional Perimeter and Nonlocal Minimal Surfaces

Luca Lombardini

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arXiv · 1508.06241

Fractional Perimeter and Nonlocal Minimal Surfaces

Luca Lombardini

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Abstract

This Master's thesis presents a study of the basic properties of the s-fractional perimeter and of the regularity theory of the corresponding s-minimal sets. In particular, we give full detailed proofs for all the Theorems contained in the article "Nonlocal Minimal Surfaces" by Caffarelli, Roquejoffre and Savin, where these s-minimal sets were introduced and studied for the first time.

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Luca Lombardini. 2015-08-25. Fractional Perimeter and Nonlocal Minimal Surfaces. https://arxiv.org/abs/1508.06241

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