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math.AP2015
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: \…
math.AP2015
Explicit estimates for solutions to higher order elliptic PDEs via Morse index
Foued Mtiri, Abdellaziz Harrabi, Dong Ye
In this paper, we establish and estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the firs…