F. Mahmoudi

most citedConstant mean curvature hypersurfaces condensing along a submanifold

8 citations · 12 across the 4 of their papers we have counts for

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2007

Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds

Mouhamed Moustapha Fall, Fethi Mahmoudi

Given a domain $Ω$ of $R^{m + 1}$ and a $k$ -dimensional non-degenerate minimal submanifold $K$ of $\pa Ω$ with $1 \leq k \leq m - 1$ , we prove the existence of a family of embedde…

math.AP2007★ 2 cited

Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part I: study of the limit set and approximate solutions

Fethi Mahmoudi, Andrea Malchiodi, Marcelo Montenegro

We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroeodinger Equation $- ε^{2} Δ ψ + V (x) ψ = ∣ ψ ∣^{p - 1} ψ$ , on a manifold or in the Euclidean space. Here…

math.AP2007★ 2 cited

Solutions to the nonlinear Schroedinger equation carrying momentum along a curve. Part II: proof of the existence result

Fethi Mahmoudi, Andrea Malchiodi

We prove existence of a special class of solutions to the (elliptic) Nonlinear Schroedinger Equation $- ε^{2} Δ ψ + V (x) ψ = ∣ ψ ∣^{p - 1} ψ$ on a manifold or in the Euclidean space. Here V…