On the general Toda system with multiple singular points
Calculus of Variations and Partial Differential Equations, ISSN: 1432-0835, Vol: 59, Issue: 4
2020
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Article Description
In this paper, we consider the following elliptic Toda system associated to any general simple Lie algebra with multiple singular sources {-Δwi=∑j=1nai,je2wj+2π∑ℓ=1mβi,ℓδpℓinR2,wi(x)=-2log|x|+O(1)as|x|→∞,i=1,…,n,where β∈ [0 , 1). Under some suitable assumption on β we establish the existence and non-existence results.This paper generalizes Luo and Tian’s (Proc Am Math Soc 116(4):1119–1129, 1992) and Hyder et al. (Pac J Math 305(2):645–666, 2020) results to the general Toda system.
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Springer Science and Business Media LLC
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