Boundary behavior and geometric properties of nonlocal minimal surfaces – Serena Dipierro


Sala Seminari (Dip. Matematica).


We recall the notion of nonlocal minimal surfaces and we discuss their qualitative and quantitative interior and 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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