activity
20072026
most citedDelaunay hypersurfaces with constant nonlocal mean curvature

7 citations · 43 across the 38 of their papers we have counts for

collaborators

56 papers

math.AP2026

Delaunay-type interface in a screened model of diblock copolymer melts

Guy Foghem, Mouhamed Moustapha Fall

A diblock copolymer is a soft-matter composed of two chemically distinct block of repeating monomers covalently bonded together at an end-to-end junction to form a single polymer c…

math.AP2024

Second radial eigenfunctions to a fractional Dirichlet problem and uniqueness for a semilinear equation

Mouhamed Moustapha Fall, Tobias Weth

We analyze the shape of radial second Dirichlet eigenfunctions of fractional Schrödinger type operators of the form in the unit ball in with a nondec…

math.AP2023

Nondegeneracy properties and uniqueness of positive solutions to a class of fractional semilinear equations

Mouhamed Moustapha Fall, Tobias Weth

We prove that positive solutions to the equation in are nonradially nondegenerate, for all , and $p>…

math.AP2023

Generic properties of eigenvalues of the fractional Laplacian

Mouhamed Moustapha Fall, Marco Ghimenti, Anna Maria Micheletti +1

We consider the Dirichlet eigenvalues of the fractional Laplacian , with , related to a smooth bounded domain . We prove that there exists an arbitrarily sma…

math.AP2023★ 1 cited

The Schiffer problem on the cylinder and on the -sphere

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We prove the existence of a family of compact subdomains of the flat cylinder for which the Neumann eigenvalue problem for the Lapl…

math.AP2022

Short time existence and smoothness of the nonlocal mean curvature flow of graphs

Anoumou Attiogbe, Mouahmed Moustapha Fall, Tobias Weth

We consider the geometric evolution problem of entire graphs moving by fractional mean curvature. For this, we study the associated nonlocal quasilinear evolution equation satisfie…