4 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( \…
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…
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(\…