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arXiv:1308.1579 [math.AP]AbstractReferencesReviewsResources

Local profile of fully bubbling solutions to SU(n+1) Toda Systems

Chang-Shou Lin, Juncheng Wei, Lei Zhang

Published 2013-08-07, updated 2014-10-13Version 2

In this article we prove that for locally defined singular SU(n+1) Toda systems in 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 and the non-degeneracy of the linearized Toda system, which make us overcome the difficulties that come from the lack of symmetry and the singular source.

Comments: 24 pages
Categories: math.AP
Subjects: 35J60, 35J47
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