In this article we prove that for locally defined singular $\mathrm {SU} (n+1)$ Toda systems in $\mathbb R^2$, the profile of fully bubbling solutions near the singular source can be accurately approximated by global solutions. The main ingredients of our new approach are the classification theorem of Lin–Wei–Ye \[22\] and the non-degeneracy of the linearized Toda system \[22\], which let us overcome the difficulties that come from lack of symmetry and the singular source.

完全起泡溶液的局部轮廓 $SU公司 (n个 + 1)$ Toda系统

常寿林

魏俊成

张磊（Lei Zhang）

摘要

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