论文标题
$ su（3）$ TODA系统的气泡解决方案的估算值
Estimates of bubbling solutions of $SU(3)$ Toda systems at critical parameters-Part 2
论文作者
论文摘要
在本文中，我们研究了常规$ SU（3）$ TODA系统的起泡解决方案，该系统在Riemann表面上定义。与冒泡解决方案的特征相对应的两个主要困难：部分爆炸现象和气泡积累。我们证明，当两个参数倾向于关键位置，如果存在一个完全起泡的爆炸点，则在一个曲率假设下，爆炸点附近的所有爆炸解决方案都满足了球形harnack的不平等，这完全排除了泡沫蓄积现象。这个事实对于许多应用程序至关重要。
In this article we study bubbling solutions of regular $SU(3)$ Toda systems defined on a Riemann surface. There are two major difficulties corresponding to the profile of bubbling solutions: partial blowup phenomenon and bubble accumulation. We prove that when both parameters tend to critical positions, if there is one fully bubbling blowup point, then under one curvature assumption, all the blowup solutions near a blowup point satisfy a spherical Harnack inequality, which completely rules out the bubble-accumulation phenomenon. This fact is crucial for a number of applications.
