63 citations · 73 across the 8 of their papers we have counts for
11 papers
On the Classification of Stable Solutions of some elliptic equations in half-space
Foued Mtiri, Abdelbaki Selmi, Cherif Zaidi
In this paper, we are concerned with stable solutions , possibly unbounded and sign-changing, of some semi-linear elliptic problem with mixed nonlinear boundary conditions. We esta…
Liouville theorem on a half-space for biharmonic problem with Dirichlet boundary condition
Foued Mtiri, Abdelbaki Selmi, Cherif Zaid
We investigate here the nonlinear elliptic Hénon type equation: $$\D^{2} u= |x|^a|u|^{p-1}u \; \,\,\mbox{in}\,\,\,\, \R^{n}_{+}, \quad \quad u =\frac{\partial u}{\partial x_n} = 0…
Existence and nonexistence results of polyharmonic boundary value problems with supercritical growth
Abdellaziz Harrabi, Foued Mtiri, Wafa Mtaouaa
We establish some existence results of polyharmonic boundary value problems with supercritical growth. Our approach is based on truncation argument as well as -bounds.…
Liouville type theorems for stable solutions of elliptic system involving the Grushin operator
Foued Mtiri
We examine the degenerate elliptic system $$-Δ_{s} u = v^p, \quad -Δ_{s} v= u^θ, \quad u,v>0 \quad\mbox{in }\; \mathbb{R}^N=\mathbb{R}^{N_1}\times \mathbb{R}^{N_2}, \quad\mbox{wher…
Solutions of super-linear elliptic equations and their Morse indices
Foued Mtiri
We investigate here the degenerate bi-harmonic equation: $$Δ_{m}^2 u=f(x,u)\; \;\;\mbox{in} Ø,\quad u = Δu = 0\quad \mbox{on }\; \pΩ,$$ with and also the degenerate tri-h…
On the classification of solutions to a weighted elliptic system involving the Grushin operator
Foued Mtiri
We investigate here the following weighted degenerate elliptic system \begin{align*} -Δ_{s} u = \Big(1+\|\mathbf{x}\|^{2(s+1)}\Big)^{\fracα{2(s+1)}} v^p, \quad -Δ_{s} v = \Big(1+\|…
Existence and multiplicity results for a new -Kirchhoff problem
M. K. Hamdani, A. Harrabi, F. Mtiri +1
We study the existence and multiplicity results for the following nonlocal -Kirchhoff problem: \begin{equation} \label{10} \begin{cases} -\left(a-b\int_Ω\frac{1}{p(x)}| \nabl…
Liouville theorems for stable at infinity solutions of m-triharmonic equation in
Foued Mtiri
In this paper we prove the Liouville type theorem for stable at infinity solutions of the following equation $$Δ_{m}^{3}u =|u|^{θ-1}u\;\;\; \mbox{in}\,\, \mathbb{R}^N,$$ for $1<m-1…
Liouville theorems for stable at infinity solutions of Lane-Emden system
Foued Mtiri, Dong Ye
We consider the Lane-Emden system , in , and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for…
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: \…
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…