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, referring to the papers [8, 27, 10, 3, 20, 19, 12] for full details.
Original language | English |
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Title of host publication | Recent Developments in Nonlocal Theory |
Editors | Giampiero Palatucci, Tuomo Kuusi |
Place of Publication | Poland |
Publisher | Walter de Gruyter |
Pages | 165-209 |
Number of pages | 45 |
ISBN (Electronic) | 978-3-11-057156-1 |
ISBN (Print) | 978-3-11-057155-4 |
DOIs | |
Publication status | Published - 1 Jan 2018 |