Habib Fourti

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20192025

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math.AP2025

Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity

Mohamed Ben Ayed, Habib Fourti

In this paper, we are concerned with the following elliptic equation $$ ( SC_\varepsilon ) \qquad \begin{cases} -Δu = |u|^{4/(n-2)}u [\ln (e+|u|)]^\varepsilon & \hbox{ in } Ω,\\ u…

math.AP2023

Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem

Habib Fourti, Rabeh Ghoudi

In this paper, we deal with the boundary value problem $- Δ u = ∣ u ∣^{4/ (n - 2)} u / [ln (e + ∣ u ∣)]^{ε}$ in a bounded smooth domain $Ω$ in $R^{n}$ , $n \geq 3$ with homogenous D…

math.AP2022

Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity

Mohamed Ben Ayed, Habib Fourti, Rabeh Ghoudi

In this paper, we are concerned with the following elliptic equation $$\left\{\begin{array}{rrl}-Δu&=& |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon\hbox{ in } Ω,\\ u&=&0 \hbox{ on }\pa…

math.AP2019

Convergence for a planar elliptic problem with large exponent Neumann data

Habib Fourti

We study positive solutions $u_{p}$ of the nonlinear Neumann elliptic problem $Δ u = u$ in $Ω$ , $\partial u / \partial ν = ∣ u ∣^{p - 1} u$ on $\partial Ω$ , where $Ω$ is a bounded open smooth do…