M. Fall

collaborators

2 papers

math.AP2025

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 SchrÃ¶dinger type operators of the form $(- I^)^{s} + V$ in the unit ball $B$ in $R^{N}$ with a nond…

math.AP2025

Overdetermined problems with fractional Laplacian

Mouhamed Moustapha Fall, Sven Jarohs

Let $N \geq 1$ and $s \in (0, 1)$ . In the present work we characterize bounded open sets $I^c ◯$ with $C^{2}$ boundary (\textit{not necessarily connected}) for which the following overdet…