Pierre Aime Feulefack

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math.AP2025

Eigenvalues of nonlinear $(p, q)$ -fractional Laplace operators under nonlocal Neumann conditions

Pierre Aime Feulefack, Emmanuel Wend-Benedo Zongo

In this paper, we investigate on a bounded open set of $R^{N}$ with smooth boundary, an eigenvalue problem involving the sum of nonlocal operators $(-Δ)_p^{s_1}+ (-Δ)_q^{s_2…

math.AP2020

Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian

Pierre Aime Feulefack, Sven Jarohs, Tobias Weth

In this article, we study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional Laplacian $(- Δ)^{s}$ in bounded open Lipschitz sets in the small order limit $…

math.AP2020

Morse index versus radial symmetry for fractional Dirichlet problems

Mouhamed Moustapha Fall, Pierre Aime Feulefack, Remi Yvant Temgoua +1

In this work, we provide an estimate of the Morse index of radially symmetric sign changing bounded weak solutions $u$ to the semilinear fractional Dirichlet problem $$ (-Δ)^su = f…

Eigenvalues of nonlinear (p,q)-fractional Laplace operators under nonlocal Neumann conditions

Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian

Morse index versus radial symmetry for fractional Dirichlet problems

Eigenvalues of nonlinear $(p, q)$ -fractional Laplace operators under nonlocal Neumann conditions