The SU(3) Toda system with multiple singular sources

with $m \geq 3$ and $β_{i, ℓ} \in [0, 1)$ . We prove existence and nonexistence results under suitable assumptions on $β_{i, ℓ}$ . This generalizes Luo–Tian’s (1992) result for a singular Liouville equation in $ℝ^{2}$ . We also study existence results for a higher order singular Liouville equation in $ℝ^{n}$ .

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Keywords

Toda system, blow-up analysis

Mathematical Subject Classification 2010

Primary: 35B40, 35B44, 35J61

Milestones

Received: 13 March 2019

Revised: 19 May 2019

Accepted: 11 October 2019

Published: 29 April 2020

Authors

Ali Hyder
Department of Mathematics Johns Hopkins University Baltimore, MD United States

Changshou Lin
Department of Mathematics, Taida Institute of Mathematical Sciences National Taiwan University Taipei Taiwan

Juncheng Wei
Department of Mathematics University of British Columbia Vancouver BC Canada

Vol. 305, No. 2, 2020

Ali Hyder, Changshou Lin and Juncheng Wei

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification 2010

Milestones

Authors