24 citations · 24 across the 4 of their papers we have counts for
5 papers
Asymptotically homogeneous solutions of the supercritical Lane-Emden system
Louis Dupaigne, Hatem Hajlaoui, Marius Ghergu
We consider the Lane-Emden system-u = |v| p-1 v,-v = |u| q-1 u in R d. When p q 1, it is known that there exists a positive radial stable solution (u, v) C…
Liouville type theorems for solutions of the weighted fractional Lane-Emden system
Hatem Hajlaoui
In this paper, we prove Liouville type theorems for stable solutions to the weighted fractional Lane-Emden system \begin{align*} (-Δ)^s u = h(x)v^p,\quad (-Δ)^s v= h(x)u^q, \quad u…
On the regularity and partial regularity of extremal solutions of a Lane-Emden system
Hatem Hajlaoui
In this paper, we consider the system on a smooth bounded domain in with the Dirichlet boundary condition on $\partial…
Liouville theorems for stable solutions of the weighted Lane-Emden system
Hatem hajlaoui, Abdellaziz Harrabi, Foued Mtiri
We examine the general weighted Lane-Emden system \begin{align*} -Δu = ρ(x)v^p,\quad -Δv= ρ(x)u^θ, \quad u,v>0\quad \mbox{in }\;\mathbb{R}^N \end{align*} where and $ρ: \…
On stable solutions of biharmonic problem with polynomial growth
Hatem Hajlaoui, Abdelaziz Harrabi, Dong Ye
We prove the nonexistence of smooth stable solution to the biharmonic problem , in for and , where is the largest ro…