We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On the general Toda system with multiple singular points.
- Authors
Hyder, Ali; Wei, Jun-cheng; Yang, Wen
- Abstract
In this paper, we consider the following elliptic Toda system associated to any general simple Lie algebra with multiple singular sources - Δ w i = ∑ j = 1 n a i , j e 2 w j + 2 π ∑ ℓ = 1 m β i , ℓ δ p ℓ in R 2 , w i (x) = - 2 log | x | + O (1) as | x | → ∞ , i = 1 , ... , n , where β i , ℓ ∈ [ 0 , 1) . Under some suitable assumption on β i , ℓ 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.
- Subjects
UNIVERSAL algebra; LIE algebras
- Publication
Calculus of Variations & Partial Differential Equations, 2020, Vol 59, Issue 4, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-020-01783-9