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arXiv · 1607.06872

Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness

Serena Dipierro·Enrico Valdinoci
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Abstract

We consider surfaces which minimize a nonlocal perimeter functional and we discuss their interior regularity and rigidity properties, in a quantitative and qualitative way, and their (perhaps rather surprising) boundary behavior. We present at least a sketch of the proofs of these results, in a way that aims to be as elementary and self contained as possible.

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Serena Dipierro, Enrico Valdinoci. 2016-07-23. Nonlocal minimal surfaces: interior regularity, quantitative estimates and boundary stickiness. https://arxiv.org/abs/1607.06872

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