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BIRS Workshop Lecture Videos

Boundary behavior and graph properties of nonlocal minimal surfaces Dipierro, Serena

Description

We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative interior and boundary behavior. In particular, we present some optimal examples in which the surfaces stick at the boundary. This phenomenon is purely nonlocal, since classical minimal surfaces do not stick at the boundary of convex domains. We also discuss the graph properties of the nonlocal minimal surfaces.

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Attribution-NonCommercial-NoDerivatives 4.0 International