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arXiv · 2610.36548

On Solutions for Singular Toda System on Surfaces with Boundary

Zhengni Hu·Aleks Jevnikar·Sang-Hyuck Moon
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Abstract

This paper studies a singular Toda system with linear source terms on a compact surface $Σ$ with boundary $\partialΣ$. The aim is twofold. First, using isothermal coordinates and reflection arguments near the boundary, we perform blow-up analysis obtaining a compactness result. Second, by assuming that $\partialΣ$ has at least two connected components, we prove a general existence result via a min-max scheme combined with a retraction argument.

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Zhengni Hu, Aleks Jevnikar, Sang-Hyuck Moon. 2026-10-27. On Solutions for Singular Toda System on Surfaces with Boundary. https://arxiv.org/abs/2610.36548

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