2 citations · 7 across the 8 of their papers we have counts for
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Eigenvalues of nonlinear -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 with smooth boundary, an eigenvalue problem involving the sum of nonlocal operators $(-Δ)_p^{s_1}+ (-Δ)_q^{s_2…
The principal eigenvalue of a mixed local and nonlocal operator with drift
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
We study the eigenvalue problem involving the mixed local-nonlocal operator ~ in a bounded domain where a Dirichlet condition is pose…
Existence and regularity results for a Neumann problem with mixed local and nonlocal diffusion
Craig Cowan, Mohammad El Smaily, Pierre Aime Feulefack
In this paper, we consider an elliptic problem driven by a mixed local-nonlocal operator with drift and subject to nonlocal Neumann condition. We prove the existence and uniqueness…
Bifurcation results and multiple solutions for the fractional -Laplace operators
Emmanuel Wend-Benedo Zongo, Pierre Aime Feulefack
We investigate a nonlinear nonlocal eigenvalue problem involving the sum of fractional -Laplace operators with ; $p,q\in(1,\inf…
The fractional logarithmic Schrödinger operator: properties and functional spaces
Pierre Aime Feulefack
In this note, we deal with the fractional Logarithmic Schrödinger operator and the corresponding energy spaces for variational study. The fractional (relativist…
The logarithmic Schrödinger operator and associated Dirichlet problems
Pierre Aime Feulefack
In this note, we study the integrodifferential operator corresponding to the logarithmic symbol , which is a singular integral operator given by $$ (I…
Nonlocal operators of small order
Pierre Aime Feulefack, Sven Jarohs
In this work we study nonlocal operators and corresponding spaces of order strictly below one and investigate interior regularity properties of weak solutions to the associated Poi…
Small order asymptotics of the Dirichlet eigenvalue problem for the fractional Laplacian
Pierre Aime Feulefack, Sven Jarohs, Tobias Weth
In this article, we study the asymptotics of Dirichlet eigenvalues and eigenfunctions of the fractional Laplacian in bounded open Lipschitz sets in the small order limit $…
Morse index versus radial symmetry for fractional Dirichlet problems
Mouhamed Moustapha Fall, Pierre Aime Feulefack, Remi Yvant Temgoua +1
In this work, we provide an estimate of the Morse index of radially symmetric sign changing bounded weak solutions to the semilinear fractional Dirichlet problem $$ (-Δ)^su = f…