Estimates of bubbling sequences of SU(3) Toda systems at critical parameters: Part 2

被引：1

作者：

Wei, Juncheng ^{[1
]}

Wu, Lina ^{[2
,4
]}

Zhang, Lei ^{[3
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC, Canada

[2] Beijing Jiaotong Univ, Sch Math & Stat, Beijing, Peoples R China

[3] Univ Florida, Dept Math, Gainesville, FL USA

[4] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2023年 / 107卷 / 06期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

LIOUVILLE TYPE EQUATIONS; MEAN-FIELD EQUATIONS; SINGULAR DATA; CLASSIFICATION; NONDEGENERACY;

D O I：

10.1112/jlms.12736

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study bubbling sequences of regular SU(3) Toda systems defined on a Riemann surface. There are two major difficulties corresponding to the profile of bubbling sequences: partial blow up phenomenon and bubble accumulation. We prove that when both parameters tend to critical positions, if there is one fully bubbling blow up point, then under a suitable curvature assumption, all the blow up solutions near the blow up point satisfy a spherical Harnack inequality, which completely rules out the bubble-accumulation phenomenon. This fact is crucial for a number of applications.

引用

页码：2150 / 2196

页数：47