Geodesic
Local profile of fully bubbling solutions to $\mathrm {SU} (n+1)$ Toda systems
Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1707-1728.

Voir la notice de l'article provenant de la source EMS Press

In this article we prove that for locally defined singular SU(n+1) Toda systems in R2, 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.
DOI : 10.4171/jems/626
Classification : 35-XX
Keywords: SU(n+1) Toda system, non-degeneracy, a priori estimate, classification theorem, fully bubbling, blowup solutions 
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     author = {Chang-Shou Lin and Juncheng Wei and Lei Zhang},
     title = {Local profile of fully bubbling solutions to $\mathrm {SU} (n+1)$ {Toda} systems},
     journal = {Journal of the European Mathematical Society},
     pages = {1707--1728},
     publisher = {mathdoc},
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     doi = {10.4171/jems/626},
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Chang-Shou Lin; Juncheng Wei; Lei Zhang. Local profile of fully bubbling solutions to $\mathrm {SU} (n+1)$ Toda systems. Journal of the European Mathematical Society, Tome 18 (2016) no. 8, pp. 1707-1728. doi : 10.4171/jems/626. http://geodesic.mathdoc.fr/articles/10.4171/jems/626/

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