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math.AP2018
Multiply-periodic hypersurfaces with constant nonlocal mean curvature
Ignace Aristide Minlend, Alassane Niang, El Hadji Abdoulaye Thiam
We study hypersurfaces with fractional mean curvature in N-dimensional Euclidean space. These hypersurfaces are critical points of the fractional perimeter under a volume constrain…
math.AP2018
Hardy-Sobolev inequality with higher dimensional singularity
El Hadji Abdoulaye Thiam
For , we let to be a smooth bounded domain of , a smooth closed submanifold of of dimension with and a continuous func…