2 papers
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…