3 papers
math.AP2017
On fractional quasilinear parabolic problem with Hardy potential
Boumediene Abdellaoui, Amhed Attar, Rachid Bentifour +1
The aim goal of this paper is to treat the following problem \begin{equation*} \left\{ \begin{array}{rcll} u_t+(-\D^s_{p}) u &=&\dyle ł\dfrac{u^{p-1}}{|x|^{ps}} & \text{ in } Ø_{T}…
math.AP2016
Caffarelli-Kohn-Nirenberg type inequalities of fractional order with applications
Boumediene Abdellaoui, Rachid Bentifour
Let and be such that . Assume that is a bounded domain containing the origin. Staring from the ground state inequality by R. Frank and R. Seiringer we obtai…
math.AP2016
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,…