output
20112025
most citedToric actions on b-symplectic manifolds

56 citations

12 papers

quant-ph2025★ 1 cited

Role of qubits in quantum entanglement and quantum teleportation

Laure Gouba

A qubit is an exhibition of quantum entanglement and a key element in the quantum teleportation process. In this paper, we review the role of qubits in quantum entanglement and qua…

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 in such that the overdetermined problem $$ -Δu = 1 \quad \text{in }, \qquad u=0, \quad \partial_νu=\tex…

math.DG2016★ 5 cited

Existence of Self-Cheeger sets on Riemannian manifolds

Ignace Aristide Minlend

Let be a compact Riemannian manifold of dimension . We prove the existence of a family of self-Cheeg…

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.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 with the complementary Dirichlet condition $u \equi…

math.SG2013★ 56 cited

Toric actions on b-symplectic manifolds

Victor Guillemin, Eva Miranda, Ana Rita Pires +1

We study Hamiltonian actions on -symplectic manifolds with a focus on the effective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem th…

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 be a smooth bounded domain in $\mahbb R^N$ with and let be a closed smooth submanifold of of dimension . In this paper we study the weigh…

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…