Zakaria Boucheche

activity

20172025

collaborators

Showing math.APShow all

4 papers · 1 filter

math.AP2025

Optimal result involving the Green's function

Zakaria Boucheche

We investigate a borderline between existence and non-existence of positive solution for a nonlinear elliptic equation involving a critical Sobolev exponent in three-dimensional ba…

math.AP2020

Another proof of a Lions type existence result

Zakaria Boucheche

This paper concerns a nonlinear elliptic equation involving a critical Sobolev growth and a lower-order term. Under a Lions's condition, we prove the existence of at least one posi…

math.AP2020

An improved existence criterion and an optimal result

Zakaria Boucheche

We are concerned with a semi-linear elliptic equation on a smooth bounded domain $Ω$ of $R^{n}, n \geq 5,$ which involves a critical nonlinearity and a linear term of the fo…

math.AP2017

Existence result under flatness condition for a nonlinear elliptic equation with Sobolev exponent

Zakaria Boucheche

In this paper, we consider the following nonlinear elliptic equation with Dirichlet boundary condition: $- Δ u = K (x) u^{\frac{n + 2}{n - 2}}, u > 0$ in $Ω, u = 0$ on $\partial Ω$ , where $Ω$ …