1 citations · 1 across the 4 of their papers we have counts for
4 papers
Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications
Boumediene Abdellaoui, Ahmed Attar, Abdelrazek Dieb +1
The first goal of this paper is to study necessary and sufficient conditions to obtain the attainability of the \textit{fractional Hardy inequality } $$Λ_{N}\equivΛ_{N}(Ω):=\inf_{\…
Existence of positive solutions to a nonlinear elliptic system with nonlinearity involving gradient term
Boumediene Abdellaoui, Ahmed Attar, El-Haj Laamri
In this work we analyze the existence of solutions to the nonlinear elliptic system: \begin{equation*} \left\{ \begin{array}{rcll} -Δu & = & v^q+\a g & \text{in }Ω, \\ -Δv& = &|\na…
On fractional p-laplacian parabolic problem with general data
Boumediene Abdellaoui, Ahmed Attar, Rachid Bentifour +1
In this article the problem to be studied is the following $$ (P) \left\{ \begin{array}{rcll} u_t+(-\D^s_{p}) u & = & f(x,t) & \text{ in } Ø_{T}\equiv Ω\times (0,T), \\ u & = & 0 &…
On the Fractional p-laplacian equations with weight and general datum
B. Abdellaoui, A. Attar, R. Bentifour
The aim of this paper is to treat the following problem $$ (P) \left\{ \begin{array}{rcll} (-Δ)^s_{p, β} u &= & f(x,u) &\mbox{ in }Ω, u & = & 0 &\mbox{ in } \mathds{R}^N\setminusΩ,…