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On Solutions for Singular Toda System on Surfaces with Boundary
Abstract
This paper studies a singular Toda system with linear source terms on a compact surface Σ with boundary ∂Σ. 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 ∂Σ 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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BibTeX
@misc{hu2026solutions,
title = {{On Solutions for Singular Toda System on Surfaces with Boundary}},
author = {Zhengni Hu and Aleks Jevnikar and Sang-Hyuck Moon},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36548},
eprint = {2610.36548},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36548},
}
RIS
TY - UNPB
TI - On Solutions for Singular Toda System on Surfaces with Boundary
AU - Zhengni Hu
AU - Aleks Jevnikar
AU - Sang-Hyuck Moon
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36548
UR - https://arxiv.org/abs/2610.36548
AB - This paper studies a singular Toda system with linear source terms on a compact surface Σ with boundary ∂Σ. 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 ∂Σ has at least two connected components, we prove a general existence result via a min-max scheme combined with a retraction argument.
ER -