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math.AP2025
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…
math.AP2022
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)…
math.AP2018
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…