1 citations · 1 across the 5 of their papers we have counts for
6 papers
On a Generalized Prandtl-Batchelor Free Boundary Problem with a Singularity on a Stratified Lie Group
Sabri Bensid
We investigate a class of elliptic free boundary problems, including a generalized Prandtl Batchelor type problem with a singularity on a stratified Lie group. The associated energ…
Analysis of a free boundary problem on stratified Lie group
Sabri Bensid
We present a variational framework for studying the existence of solutions of a class of elliptic free boundary problems on stratified Lie groups. Using the important monotonicity…
Perturbation analysis in a free boundary problem arising in tumor growth model
Ahlem Abdelouahab, Sabri Bensid
We study the existence and multiplicity of solutions of the following free boundary problem $$ (P)\left\{ \begin{array}{rcll} \del u &=& \lam ( \eps +(1-\eps ) H(u-μ))~ \hspace{3mm…
A free boundary problem for a discontinuous semilinear elliptic equations in convex ring
Sabri Bensid
In this paper, we consider the following free boundary problem $$ (P)\left\{\begin{array}{ll} Δu = λϕ(x)\Sum_{i=1}^n H(u-μ_i )& \quad \mbox{ in }\ Ω=Ω_2\setminus \overlineΩ_1, \\[0…
Existence results for singular elliptic problem involving a fractional p-Laplacian
Hanaa Achour, Sabri Bensid
In this article, the problems to be studied are the following \leqnomode \begin{equation*} \label{p} \left\{\begin{array}{ll} (-Δ)_p^s u \pm \dfrac{|u|^{p-2}u}{|x|^{sp}} = λf(x,u)…
On the exact number of monotone solutions of a simplifed Budyko climate model and their different stability
Sabri Bensid, Jesús Ildefonso Díaz
We consider a simplified version of the Budyko diffusive energy balance climate model. We obtain the exact number of monotone stationary solutions of the associated discontinuous n…