3 papers
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
Boundary regularity for a degenerate elliptic equation with mixed boundary conditions
Alassane Niang
We consider a function U satisfying a degenerate elliptic equation on (0,+\infty)\times R^N with mixed Dirichlet-Neumann boundary conditions. The Neumann condition is prescribed on…
math.AP2017
Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations
Mouhamed Moustapha Fall, Veronica Felli, Alberto Ferrero +1
We consider elliptic equations in planar domains with mixed boundary conditions of Dirichlet-Neumann type. Sharp asymptotic expansions of the solutions and unique continuation prop…