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Nonlocal Delaunay Surfaces

Juan DavilaManuel del PinoSerena DipierroEnrico Valdinoci

出版	Techn. Informationsbibl. und Univ.-Bibl., 2015
URL	http://books.google.com.hk/books?id=laPpvQEACAAJ&hl=&source=gbs_api

註釋

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).