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We discuss in this note the stickiness phenomena for nonlocal minimalsurfaces. Classical minimal surfaces in convex domains do not stick to theboundary of the domain, hence examples of stickiness can be obtained only byremoving the assumption of convexity. On the other hand, in the nonlocalframework, stickiness is "generic". We provide various examples from theliterature, and focus on the case of complete stickiness in highly nonlocalregimes.

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