African Institute for Mathematical Sciences Senegal

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20112025

most citedToric actions on b-symplectic manifolds

56 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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7 papers · 1 filter

math.AP2020★ 1 cited

Foliation of an asymptotically flat end by critical capacitors

Mouhammed Moustapha Fall, Ignace Aristide Minlend, Jesse Ratzkin

We construct a foliation of an asymptotically flat end of a Riemannian manifold by hypersurfaces which are critical points of a natural functional arising in potential theory. Thes…

math.AP2016

Unbounded periodic solutions to Serrin's overdetermined boundary value problem

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We study the existence of nontrivial unbounded domains $Ω$ in $R^{N}$ such that the overdetermined problem $$ -Δu = 1 \quad \text{in $Ω$ }, \qquad u=0, \quad \partial_νu=\tex…

math.AP2016★ 4 cited

On the rate of change of the best constant in the Sobolev inequality

Tom Carroll, Mouhamed Moustapha Fall, Jesse Ratzkin

We estimate the rate of change of the best constant in the Sobolev inequality of a Euclidean domain which moves outward. Along the way we prove an inequality which reverses the usu…

math.AP2013★ 3 cited

Monotonicity and nonexistence results for some fractional elliptic problems in the half space

Mouhamed Moustapha Fall, Tobias Weth

We study a class of fractional elliptic problems of the form $\Ds u= f(u)$ in the half space $R_{+}^{N} := {x \in R^{N} : x_{1} > 0}$ with the complementary Dirichlet condition $u \equi…

math.AP2013★ 5 cited

Orbital stability of standing waves of a class of fractional Schrodinger equations with a general Hartree-type integrand

Y. Cho, M. M. Fall, H. Hajaiej +2

This article is concerned with the mathematical analysis of a class of a nonlinear fractional Schrodinger equations with a general Hartree-type integrand. We prove existence and un…

math.AP2013★ 2 cited

Unique continuation property and local asymptotics of solutions to fractional elliptic equations

Mouhamed Moustapha Fall, Veronica Felli

Asymptotics of solutions to fractional elliptic equations with Hardy type potentials is studied in this paper. By using an Almgren type monotonicity formula, separation of variable…

math.AP2012

Weighted Hardy inequality with higher dimensional singularity on the boundary

Mouhamed Moustapha Fall, Fethi Mahmoudi

Let $Ω$ be a smooth bounded domain in $\mahbb R^N$ with $N \geq 3$ and let $Σ_{k}$ be a closed smooth submanifold of $δ Ω$ of dimension $1 \leq k \leq N - 2$ . In this paper we study the weigh…