In this article we prove that for locally defined singular Toda systems in , 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  and the non-degeneracy of the linearized Toda system , which let us overcome the difficulties that come from lack of symmetry and the singular source.
Cite this article
Chang-Shou Lin, Juncheng Wei, Lei Zhang, Local profile of fully bubbling solutions to Toda systems. J. Eur. Math. Soc. 18 (2016), no. 8, pp. 1707–1728DOI 10.4171/JEMS/626