Nonlocal Delaunay surfaces

Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci

Research output: Contribution to journalArticle

18 Citations (Scopus)
11 Downloads (Pure)

Abstract

We construct codimension 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).
Original languageEnglish
Pages (from-to)357-380
Number of pages24
JournalNonlinear Analysis: Theory Methods & Applications
Volume137
Early online date3 Nov 2015
DOIs
Publication statusPublished - 1 May 2016

Cite this