F. Mahmoudi

activity

20042016

most citedTransition Layer for the Heterogeneous Allen-Cahn Equation

26 citations · 38 across the 11 of their papers we have counts for

collaborators

14 papers

math.AP2016

Concentration at submanifolds for an elliptic Dirichlet problem near high critical exponents

Shengbing Deng, Fethi Mahmoudi, Monica Musso

Let $Ω$ be a open bounded domain in $R^{n}$ with smooth boundary $\partial Ω$ . We consider the equation $Δ u + u^{\frac{n - k + 2}{n - k - 2} - ε} = 0 in Ω$ , under…

math.AP2015

Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile

Fethi Mahmoudi, Nejla Nouaili, Hatem Zaag

We construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, which blows up in finite time $T$ only at one blow-up point. We al…

math.AP2014

Ground states and concentration phenomena for the fractional Schrödinger equation

Mouhamed Moustapha Fall, Fethi Mahmoudi, Enrico Valdinoci

We consider here solutions of the nonlinear fractional Schrödinger equation $ε^{2 s} (- Δ)^{s} u + V (x) u = u^{p} .$ We show that concentration points must be critical points for $V$ . We also…

math.AP2014

On the Ambrosetti-Malchiodi-Ni Conjecture for general submanifolds

Fethi Mahmoudi, Felipe Subiabre Sánchez, Wei Yao

We study positive solutions of the following semilinear equation $ε^{2} Δ_{g ˉ} u - V (z) u + u^{p} = 0 on M,$ where $(M, g ˉ)$ is a compact smooth $n$ -dim…

math.AP2012

Weighted Hardy inequality with higher dimensional singularity on the boundary

Mouhamed Moustapha Fall, Fethi Mahmoudi

Let $Ω$ be a smooth bounded domain in $\mahbb R^N$ with $N \geq 3$ and let $Σ_{k}$ be a closed smooth submanifold of $δ Ω$ of dimension $1 \leq k \leq N - 2$ . In this paper we study the weigh…

math.AP2011

Bubbling on Boundary Submanifolds for the Lin-Ni-Takagi Problem at Higher Critical Exponents

Manuel Del Pino, Fethi Mahmoudi, Monica Musso

We consider the equation $d^{2} Δ u - u + u^{\frac{n - k + 2}{n - k - 2}} = 0 inΩ$ , under zero Neumann boundary conditions, where $Ω$ is open, smooth and bounded and $d$ is a small posit…