The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case

We discuss in this note the stickiness phenomena for nonlocal minimal surfaces. Classical minimal surfaces in convex domains do not stick to the boundary of the domain, hence examples of stickiness can be obtained only by removing the assumption of convexity. On the other hand, in the nonlocal frame...

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Bibliographic Details
Main Author: Claudia Bucur
Format: Article
Language:English
Published: University of Bologna 2019-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/10362