Volume 26, 2020
|Number of page(s)||33|
|Published online||14 February 2020|
Multiply-periodic hypersurfaces with constant nonlocal mean curvature
African Institute for Mathematical Sciences of Senegal,
Route de Joal,
B.P. 14 18.
2 Cheikh Anta Diop University, Cheikh Anta Diop Avenue, B.P. 5005 Dakar-Fann, Senegal.
* Corresponding author: email@example.com
Accepted: 25 July 2019
We study hypersurfaces with fractional mean curvature in N-dimensional Euclidean space. These hypersurfaces are critical points of the fractional perimeter under a volume constraint. We use local inversion arguments to prove existence of smooth branches of multiply-periodic hypersurfaces bifurcating from suitable parallel hyperplanes.
Mathematics Subject Classification: 47G20 / 53A10 / 35B10
Key words: Fractional perimeter / non local mean curvature / bifurcation
© EDP Sciences, SMAI 2020
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.