56 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- African Institute for Mathematical SciencesZA6 papers
- Goethe University FrankfurtDE5 papers
- Universitat Politècnica de CatalunyaES2 papers
- Center for Mathematical ModelingCL1 paper
- Cornell UniversityUS1 paper
- Institució Catalana de Recerca i Estudis AvançatsES1 paper
- Jeonbuk National UniversityKR1 paper
- King Abdullah University of Science and TechnologySA1 paper
- King Saud UniversitySA1 paper
- Massachusetts Institute of TechnologyUS1 paper
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT1 paper
- University College CorkIE1 paper
12 papers
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…