Multiply-periodic hypersurfaces with constant nonlocal mean curvature

Autor:	Minlend, Ignace Aristide, Niang, Alassane, Thiam, El Hadji Abdoulaye
Rok vydání:	2018
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1804.01782 Zobrazit plný text záznamu View this record from Arxiv