most citedThe Morse property of limit functions appearing in mean field equations on surfaces with boundary

1 citations · 1 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2024

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} -…

math.AP2024

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…

math.AP2024

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…

math.DG2024★ 1 cited

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…

math.AP2015

Normalized solutions for nonlinear Schrödinger systems

Thomas Bartsch, Louis Jeanjean

We consider the existence of \emph{normalized} solutions in for systems of nonlinear Schrödinger equations which appear in models for binary mixtures o…