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Nonlinear Analysis

Multiply-periodic Hypersurfaces with Constant Nonlocal Mean Curvature

Ignace Aristide Minlend, University of Douala

Location:  Hill 705
Date & time: Tuesday, 25 February 2020 at 1:40PM - 3:00PM

Abstract:  Hypersurfaces with Constant Non local Mean Curvature  can be modelled as  interfaces of coexistence in phase transition  (of two liquids with different density for instance)  when long range interactions are allowed. These hypersurfaces  arise as critical points of the fractional perimeter under a volume constraint.  


In this talk, we use local inversion argument to prove the existence of  smooth branches of multiply-periodic hypersurfaces  bifurcating  from suitable parallel hyperplanes.



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