1 citations · 1 across the 9 of their papers we have counts for
11 papers
Fractional Hardy inequalities on open sets
Abdelrazek Dieb, Remi Yvant Temgoua
Let be a bounded open set of class in and . We study a family of fractional Hardy-type inequalities \begin{equation} \frac{c_{N,s…
A note on Pólya-Szegö inequality for fractional Orlicz-Sobolev seminorm in domains
Remi Yvant Temgoua
In this paper, we study the effect of symmetric radial decreasing rearrangement on fractional Orlicz-Sobolev seminorm in domains. Roughly speaking, we prove that symmetric radial d…
A supercritical nonlocal Neumann problem involving non-homogeneous fractional Laplacian
Remi Yvant Temgoua
In this paper, we study the existence of positive non-decreasing radial solutions of a nonlocal non-standard growth problem ruled by the fractional -Laplace operator with exteri…
Symmetry breaking and multiplicity for supercritical elliptic Hamiltonian systems in exterior domains
Remi Yvant Temgoua
We consider positive solutions of the following elliptic Hamiltonian systems \begin{equation} \left\{ \begin{aligned} -Δu+u&=a(x)v^{p-1}~~~\text{in}~~A_R\\ -Δv+v&=b(x)u^{q-1}~~~\te…
Radial positive solutions for mixed local and nonlocal supercritical Neumann problem
David Amundsen, Abbas Moameni, Remi Yvant Temgoua
In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on…
A mixed local and nonlocal supercritical Dirichlet problems
David Amundsen, Abbas Moameni, Remi Yvant Temgoua
In this work, we consider a mixed local and nonlocal Dirichlet problem with supercritical nonlinearity. We first establish a multiplicity result for the problem \begin{equation} Lu…
The eigenvalue problem for the regional fractional Laplacian in the small order limit
Remi Yvant Temgoua, Tobias Weth
In this note, we study the asymptotic behavior of eigenvalues and eigenfunctions of the regional fractional Laplacian as . Our analysis leads to a study of the…
On the s-derivative of weak solutions of the Poisson problem for the regional fractional Laplacian
Remi Yvant Temgoua
In this paper, we analyze the -dependence of the solution to the fractional Poisson equation in an open bounded set . Precisely, we s…
A Hopf lemma for the regional fractional Laplacian
Nicola Abatangelo, Mouhamed Moustapha Fall, Remi Yvant Temgoua
We provide a Hopf boundary lemma for the regional fractional Laplacian , with a bounded open set. More precisely, given a pointwise or weak sup…
Existence results for nonlocal problems governed by the regional fractional Laplacian
Mouhamed Moustapha Fall, Remi Yvant Temgoua
The aim of the present paper is to study existence results of minimizers of the critical fractional Sobolev constant on bounded domains. Under some values of the fractional paramet…
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…