4 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.…
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{…