63 citations · 67 across the 7 of their papers we have counts for
8 papers
Existence and multiplicity of solutions for polyharmonic elliptic Kirchhoff type equations without Ambrosetti-Rabinowitz conditions
Mohamed Karim Hamdani, Abdellaziz Harrabi
In this paper, we prove the existence of infinitely many solutions for a class of quasilinear elliptic -polyharmonic Kirchhoff equations where the nonlinear function has a qu…
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.…
Interpolation inequality and some applications
Abdellaziz Harrabi
We investigate {\bf explicit} universal estimate of finite Morse index solutions to polyharmonic equations. \,Differently to previous works \cite{BL2, DDF, fa, H1}, propose here a…
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…
High-order Kirchhoff problems in bounded and unbounded domains
Mohamed Karim Hamdani, Abdellaziz Harrabi
Consider the following polyharmonic Kirchhoff problem: \begin{eqnarray} \label{ea} \begin{cases} M\left(\int_Ø|D_r u|^{m} +a|u|^m\right)[Δ^r_m u +a|u|^{m-2}u]= K(x)f(u) &\mbox{…
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…
Ambrosetti-Rabinowitz theorems revisited
Abdellaziz Harrabi
We introduce tow assumptions weaker than the classical Ambrosetti-Rabinowitz and the subcritical polynomial growth conditions to obtain the Palais-Smale Condition. Therefore, we im…