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arXiv · 1501.07459

Nonlocal Delaunay surfaces

Juan Dávila·Manuel del Pino·Serena Dipierro·Enrico Valdinoci
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Abstract

We construct codimension 1 surfaces of any dimension that minimize a periodic nonlocal perimeter functional among surfaces that are periodic, cylindrically symmetric and decreasing. These surfaces may be seen as a nonlocal analogue of the classical Delaunay surfaces (onduloids). For small volume, most of their mass tends to be concentrated in a periodic array and the surfaces are close to a periodic array of balls (in fact, we give explicit quantitative bounds on these facts).

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Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci. 2015-10-03. Nonlocal Delaunay surfaces. https://arxiv.org/abs/1501.07459

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