Local profile of fully bubbling solutions to Toda systems
Chang-Shou Lin
National Taiwan University, Taipei, TaiwanJuncheng Wei
University of British Columbia, Vancouver, CanadaLei Zhang
University of Florida, Gainesville, USA
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Abstract
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 [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.
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. 1707–1728
DOI 10.4171/JEMS/626