7 citations · 43 across the 38 of their papers we have counts for
6 papers · 1 filter
Periodic patterns for a model involving short-range and long-range interactions
Mouhamed Moustapha Fall
We consider a physical model where the total energy is governed by surface tension and attractive screened Coulomb potential on the 3-dimensional space. We obtain different periodi…
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…
Regularity estimates for nonlocal Schrödinger equations
Mouhamed Moustapha Fall
We prove Hölder regularity estimates up to the boundary for weak solutions to nonlocal Schrödinger equations subject to exterior Dirichlet conditions in an open set $Ω\subset \…
On isolated singularities of Kirchhoff--type Laplacian problems
Huyuan Chen, Mouhamed Moustapha Fall, Binlin Zhang
In this paper, we study isolated singular positive solutions for the following Kirchhoff--type Laplacian problem: \begin{equation*} -\left(θ+\int_Ω |\nabla u| dx\right)Δu =u^p \qua…
Near-sphere lattices with constant nonlocal mean curvature
Xavier Cabre, Mouhamed Moustapha Fall, Tobias Weth
We are concerned with unbounded sets of whose boundary has constant nonlocal (or fractional) mean curvature, which we call CNMC sets. This is the equation associated…
Hardy-Sobolev inequality with singularity a curve
Mouhamed Moustapha Fall, El hadji Abdoulaye Thiam
We consider a bounded domain of , , and a continuous function on . Let be a closed curve contained in . We study existence of positive solu…