6 papers
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: \[ -Î_g v = Ï\left( \…
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 : \[ -Î_g u = Ï\Big(\frac{V e^u}{\int_Σ V…
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 exis…
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} -…
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: $$ -Î_g u = λ\left(\…