Khalil El Mehdi

most citedAsymptotic Estimates and Qualitatives Properties of an Elliptic Problem in Dimension Two

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025

Bubbles clustered inside for almost critical problems

Mohamed Ben Ayed, Khalil El Mehdi

We investigate the existence of blowing-up solutions of the following almost critical problem $$ -Δu +V(x)u =u^{p-\e},\quad u>0\quad\mbox{in}\quad Ø,\quad u=0\quad\mbox{on}\quad \p…

math.AP2025

Multi-Bubble Blow-up Analysis for an Almost Critical Problem

Mohamed Ben Ayed, Khalil El Mehdi

Consider a smooth, bounded domain $Ø \subset R^{n}$ with $n \geq 4$ and a smooth positive function $V$ . We analyze the asymptotic behavior of a sequence of positive solutions…

math.AP2003★ 5 cited

Asymptotic Estimates and Qualitatives Properties of an Elliptic Problem in Dimension Two

Khalil El Mehdi, Massimo Grossi

In this paper we study a semilinear elliptic problem on a bounded domain in $R^{2}$ with large exponent in the nonlinear term. We consider positive solutions obtained by minimizing…