7 papers
The influence of a Generalized Hardy-Type Potential on Finite Morse Index Solutions of the Hénon Problem: Local and Nonlocal Cases
Habib Fourti, Abdelbaki Selmi, Cherif Zaidi
In this paper, we investigate nonexistence results for stable solutions of the semilinear elliptic problem $$(-Δ)^s u+λ|x|^αu=|x|^β|u|^{p-1}u \; \mbox{in}\; \mathcal{H}, $$ where $…
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 $$ ( SC_\varepsilon ) \qquad \begin{cases} -Δu = |u|^{4/(n-2)}u [\ln (e+|u|)]^\varepsilon & \hbox{ in } Ω,\\ u…
Sharp boundary concentration for a two-dimensional nonlinear Neumann problem
Francesca De Marchis, Habib Fourti, Isabella Ianni
We consider the elliptic equation in a bounded, smooth domain subject to the nonlinear Neumann boundary condition $\partial u/\partialν= |u|^{p-1…
Stable critical point of the Robin function and bubbling phenomenon for a slightly subcritical elliptic problem
Habib Fourti, Rabeh Ghoudi
In this paper, we deal with the boundary value problem in a bounded smooth domain in , with homogenous D…
Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity
Mohamed Ben Ayed, Habib Fourti, Rabeh Ghoudi
In this paper, we are concerned with the following elliptic equation $$\left\{\begin{array}{rrl}-Δu&=& |u|^{4/(n-2)}u/[\ln (e+|u|)]^\varepsilon\hbox{ in } Ω,\\ u&=&0 \hbox{ on }\pa…
New existence results for prescribed mean curvature problem on balls under pinching conditions
Habib Fourti
We consider a kind of Yamabe problem whose scalar curvature vanishes in the unit ball and on the boundary the mean curvature is prescribed. By com…
Convergence for a planar elliptic problem with large exponent Neumann data
Habib Fourti
We study positive solutions of the nonlinear Neumann elliptic problem in , on , where is a bounded open smooth do…