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math.AP2024
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…
math.AP2023★ 1 cited
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 $$ (P)\left\{ \begin{array}{rcll} \del u &=& \lam ( \eps +(1-\eps ) H(u-μ))~ \hspace{3mm…
math.AP2023
A free boundary problem for a discontinuous semilinear elliptic equations in convex ring
Sabri Bensid
In this paper, we consider the following free boundary problem $$ (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…