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Mathematics > Analysis of PDEs

arXiv:1804.01782 (math)
[Submitted on 5 Apr 2018]

Title:Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Authors:Ignace Aristide Minlend, Alassane Niang, El Hadji Abdoulaye Thiam
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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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.01782 [math.AP]
  (or arXiv:1804.01782v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.01782

Submission history

From: El Hadji Abdoulaye Thiam Mr [view email]
[v1] Thu, 5 Apr 2018 11:11:33 UTC (28 KB)
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