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math.DG2016★ 7 cited
Delaunay hypersurfaces with constant nonlocal mean curvature
Xavier Cabre, Mouhamed Moustapha Fall, Tobias Weth
We study hypersurfaces of with constant nonlocal (or fractional) mean curvature. This is the equation associated to critical points of the fractional perimeter funct…
math.DG2011
Sharp local estimates for the Szegö-Weinberger profile in Riemannian manifolds
Mouhamed Moustapha Fall, Tobias Weth
We study the local Szegö-Weinberger profile in a geodesic ball centered at a point in a Riemannian manifold $(\M,g)$. This profile is obtained by maximizing th…