JournalsjemsVol. 18, No. 8pp. 1707–1728

Local profile of fully bubbling solutions to SU(n+1)\mathrm {SU} (n+1) Toda systems

  • Chang-Shou Lin

    National Taiwan University, Taipei, Taiwan
  • Juncheng Wei

    University of British Columbia, Vancouver, Canada
  • Lei Zhang

    University of Florida, Gainesville, USA
Local profile of fully bubbling solutions to $\mathrm {SU} (n+1)$ Toda systems cover
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Abstract

In this article we prove that for locally defined singular SU(n+1)\mathrm {SU} (n+1) Toda systems in R2\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.

Cite this article

Chang-Shou Lin, Juncheng Wei, Lei Zhang, Local profile of fully bubbling solutions to SU(n+1)\mathrm {SU} (n+1) Toda systems. J. Eur. Math. Soc. 18 (2016), no. 8, pp. 1707–1728

DOI 10.4171/JEMS/626