Analytic Aspects of the Toda System: II. Bubbling behavior and existence of solutions

Jürgen Jost, Chang-Shou Lin, and Guofang Wang

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Submission date: 09. May. 2005
Pages: 37
published in: Communications on pure and applied mathematics, 59 (2006) 4, p. 526-558 
DOI number (of the published article): 10.1002/cpa.20099
Bibtex
MSC-Numbers: 35J60
Keywords and phrases: toda system, bubbling behavior, chern-simons theory
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Abstract:
In this paper, we continue to consider

the 2-dimensional (open) Toda system (Toda lattice)

for SU(N+1)

- u_i = _j=1^N a_ij e^u_j,

for , where is the Cartan

matrix for SU(N+1) given by

we give a much more precise bubbling behavior of solutions and consider its existence in some critical cases