Multiply-periodic hypersurfaces with constant nonlocal mean curvature
Analysis of PDEs
2018-04-06 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1804.01782,
title = {Multiply-periodic hypersurfaces with constant nonlocal mean curvature},
author = {Ignace Aristide Minlend and Alassane Niang and El Hadji Abdoulaye Thiam},
journal= {arXiv preprint arXiv:1804.01782},
year = {2018}
}