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).
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 language | English |
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Pages (from-to) | 357-380 |
Number of pages | 24 |
Journal | Nonlinear Analysis: Theory Methods & Applications |
Volume | 137 |
Early online date | 3 Nov 2015 |
DOIs | |
Publication status | Published - 1 May 2016 |