M. Fall

activity

20072026

most citedDelaunay hypersurfaces with constant nonlocal mean curvature

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

collaborators

Showing 2023 · math.APShow all

3 papers · 2 filters

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 $u \in H^{s} (R^{N})$ to the equation $(- Δ)^{s} u + u = u^{p}$ in $R^{N}$ are nonradially nondegenerate, for all $s \in (0, 1)$ , $N \geq 1$ 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 $(- Δ)^{s}$ , with $s \in (0, 1)$ , related to a smooth bounded domain $Ω$ . We prove that there exists an arbitrarily sma…

math.AP2023★ 1 cited

The Schiffer problem on the cylinder and on the $2$ -sphere

Mouhamed Moustapha Fall, Ignace Aristide Minlend, Tobias Weth

We prove the existence of a family of compact subdomains $Ω$ of the flat cylinder $R^{N} \times R /2 π Z$ for which the Neumann eigenvalue problem for the Lapl…

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

Generic properties of eigenvalues of the fractional Laplacian

The Schiffer problem on the cylinder and on the 2-sphere

The Schiffer problem on the cylinder and on the $2$ -sphere