3 papers
math.AP2026
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 $…
math.AP2021
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…
math.AP2021
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…