1 citations · 1 across the 8 of their papers we have counts for
10 papers
Liouville systems I: Blow-up analysis and orthogonal decomposition
Mohameden Ahmedou, Zhengni Hu, Jonas Fey +1
We study blow-up solutions of generalized Liouville systems on a closed surface at and near critical parameter hypersurfaces. Under a Morse assumption on the reduced functional, we…
Blow-up solutions for mean field equations with non-quantized singularities on Riemann surfaces with boundary
Mohameden Ahmedou, Zhengni Hu, Miaomiao Zhu
We study mean field equations with singular sources on a compact Riemann surface with boundary , subject to homogeneous Neumann boundary conditions: \[ -Δ_g v = ρ\left( \fra…
Blow-up Solutions for General Toda Systems on Riemann Surfaces
Zhengni Hu, Miaomiao Zhu
In this paper, we study general Toda systems with homogeneous Neumann boundary conditions on Riemann surfaces. Assuming the surface satisfies the ``-symmetric'' condition, we co…
A degree-counting formula for a Keller-Segel equation on a surface with boundary
Mohameden Ahmedou, Zhengni Hu, Heming Wang
In this paper, we consider the following Keller-Segel equation on a compact Riemann surface with smooth boundary : \[ -Δ_g u = ρ\Big(\frac{V e^u}{\int_Σ V e^u \…
Blow-up solutions for the steady state of the Keller-Segel system on Riemann surfaces
Mohameden Ahmedou, Thomas Bartsch, Zhengni Hu
We study the following Neumann boundary problem related to the stationary solutions of the Keller-Segel system, a basic model of chemotaxis phenomena: \[ \left\{\begin{array}{ll} -…
Partial Blow-up Phenomena in the Toda System on Riemann Surfaces
Zhengni Hu, Mohameden Ahmedou, Thomas Bartsch
This work studies the partial blow-up phenomena for the Toda system on compact Riemann surfaces with smooth boundary. We consider the following coupled Liouville system wit…
Blow-up solutions for mean field equations with Neumann boundary conditions on Riemann surfaces
Zhengni Hu, Thomas Bartsch, Mohameden Ahmedou
On a compact Riemann surface with a smooth boundary , we consider the following mean field equations with Neumann boundary conditions: $$ -Δ_g u = λ\left(\frac…
On Solutions for Singular Toda System on Riemann Surfaces with Boundary
Zhengni Hu
This paper studies solutions to a singular Toda system with linear source terms on a compact Riemann surface with smooth boundaries . We establish the existe…
The Morse property of limit functions appearing in mean field equations on surfaces with boundary
Zhengni Hu, Thomas Bartsch
In this paper we study the Morse property for functions related to limit functions of mean field equations on a smooth, compact surface with boundary . Given a Riema…
Multiple-rank Modification of Symmetric Eigenvalue Problem
HyungSeon Oh, Zhe Hu
Rank-1 modifications in k-times (k > 1) often are performed to achieve rank-k modification. We propose a rank- k modification for enhancing computational efficiency. As the first s…