Journal
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
Volume 26, Issue -, Pages -Publisher
EDP SCIENCES S A
DOI: 10.1051/cocv/2019047
Keywords
Fractional perimeter; non local mean curvature; bifurcation
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Funding
- German Academic Exchange Service (DAAD)
- Non Linear Analysis, Geometry and Applications Project (NLAGA)
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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.
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