75 citations · 96 across the 21 of their papers we have counts for
22 papers
Equilibria of vortex type Hamiltonians on closed surfaces
Mohameden Ahmedou, Thomas Bartsch, Tim Fiernkranz
We prove the existence of critical points of vortex type Hamiltonians \[ H(p_1,\ldots, p_N) = \sum_{{i,j=1},{i\ne j}}^N Γ_iΓ_jG(p_i,p_j)+ψ(p_1,\dots,p_N) \] on a closed Riemannian…
The Nirenberg problem on half spheres: A bubbling off analysis
Mohameden Ahmedou, Mohamed Ben Ayed
In this paper we perform a refined blow up analysis of finite energy approximated solutions to a Nirenberg type problem on half spheres. The later consists of prescribing, under mi…
Morse inequalities at infinity for a resonant mean field equation
Mohameden Ahmedou, Mohamed Ben Ayed
In this paper we study the following mean field type equation \begin{equation*} (MF) \qquad -\D_g u \, = \varrho ( \frac{K e^{u}}{\int_{\Sig} K e^{u} dV_g} \, - \, 1) \, \mbox{ in…
The Nirenberg problem on high dimensional half spheres: The effect of pinching conditions
Mohameden Ahmedou, Mohamed Ben Ayed
In this paper we study the Nirenberg problem on standard half spheres , which consists of finding conformal metrics of prescribed scalar curvature…
Classification and a priori estimates for the singular prescribing -curvature equation on 4-manifold
Mohameden Ahmedou, Lina Wu, Lei Zhang
On a compact riemannian manifold we consider the prescribed curvature equation defined on with finite singular sources. We first prove a classification theorem…
Non simple blow ups for the Nirenberg problem on half spheres
Mohameden Ahmedou, Mohamed Ben Ayed
In this paper we study a Nirenberg type problem on standard half spheres consisting of finding conformal metrics of prescribed scalar curvature and zero boun…