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Fractional Perimeter and Nonlocal Minimal Surfaces

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.

preprint2015arXivOpen access
Luca Lombardini
math.AP
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Luca Lombardini

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