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Abstract
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We consider the singular SU
Toda system with multiple singular sources:
with
and
.
We prove existence and nonexistence results under suitable assumptions on
. This
generalizes Luo–Tian’s (1992) result for a singular Liouville equation in
. We
also study existence results for a higher order singular Liouville equation in
.
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Keywords
Toda system, blow-up analysis
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Mathematical Subject Classification 2010
Primary: 35B40, 35B44, 35J61
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Milestones
Received: 13 March 2019
Revised: 19 May 2019
Accepted: 11 October 2019
Published: 29 April 2020
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