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

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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.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…