Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness

Research output: Chapter in Book/Conference paperChapterpeer-review

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 languageEnglish
Title of host publicationRecent Developments in Nonlocal Theory
EditorsG Palatucci, T Kuusi
Place of PublicationPoland
PublisherWalter de Gruyter
Pages165-209
Number of pages45
ISBN (Print)978-3-11-057155-4
DOIs
Publication statusPublished - 2018
Externally publishedYes

Fingerprint

Dive into the research topics of 'Nonlocal Minimal Surfaces: Interior Regularity, Quantitative Estimates and Boundary Stickiness'. Together they form a unique fingerprint.

Cite this