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math.AP2026
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…
math.AP2026
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…
math.AP2026
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…