M. Ayed

collaborators

4 papers

math.AP2026

Blowing-up Solutions with Residual Mass in a Slightly Subcritical Dirichlet Problem

Rufaidah Alharbi, Mohamed Ben Ayed, Khalil El Mehdi

In this paper, we study the Dirichlet elliptic problem $(P_{ε})$ : $- I^ u + V u = u^{p - ε}$ , $u > 0$ in $I^c ◯$ , $u = 0$ on $\partial I^c ◯$ , where $I^c ◯ \subset R^{n}$ (…

math.AP2025

Non existence of solutions for a slightly super-critical elliptic problem with non-power nonlinearity

Mohamed Ben Ayed, Habib Fourti

In this paper, we are concerned with the following elliptic equation $$ ( SC_\varepsilon ) \qquad \begin{cases} -Îu = |u|^{4/(n-2)}u [\ln (e+|u|)]^\varepsilon & \hbox{ in } Î©,\\…

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…