Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system
type: Item
instance of: scholarly article
title: Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system
zbMATH Open document ID: 1271.30017
author: Chang-Shou Lin
author: Chunyi Zhao
author: Juncheng Wei
published in: Geometric and Functional Analysis. GAFA
publication date: 2013-01-29T00:00:00Z
review text: The authors obtain sharp estimates for fully bubbling solutions of \(\mathrm{SU}(3)\) Toda systems in a compact Riemann surface: \[ \begin{cases}\Delta u_1+2 e^{u_1}-e^{u_2} = 4 \pi \sum_{j=1}^m \gamma_{j1} \delta_{q_j},\\ \Delta u_2+2 e^{u_2}-e^{u_1} = 4 \pi \sum_{j=1}^m \gamma_{j2} \delta_{q_j},\end{cases} \] where \(\Delta\) stands for the Laplace-Beltrami operator, \(\gamma_{jk} \in \mathbb N\), and \(\delta_{q_j}\) is the Dirac measure at \(q_j\).
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6132217
zbMATH Keywords: compact Riemann surface
zbMATH Keywords: Toda system
zbMATH Keywords: Laplace-Beltrami operator
reviewed by: Vladimir Mityushev
MaRDI profile type: Publication
full work available at URL: s00039-012-0193-4
OpenAlex ID: W2076869257
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DOI: 10.1007/S00039-012-0193-4
description: scientific article; zbMATH DE number 6132217