K. El Mehdi

collaborators

2 papers

math.AP2025

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

Mohamed Ben Ayed, Khalil El Mehdi

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

math.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 $$ -Îu +V(x)u =u^{p-\e},\quad u>0\quad\mbox{in}\quad Ã,\quad u=0\quad\mbox{on}\quad…