Browsing by Author "Pino, Manuel del"

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    Nonlocal Delaunay surfaces
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Davila, Juan; Pino, Manuel del; Dipierro, Serena; Valdinoci, Enrico
    We construct codimension 1 surfaces of any dimension that minimize a 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).