A priori estimates for D4 and F4 Toda systems
Journal
Journal of Functional Analysis
Journal Volume
279
Journal Issue
8
Pages
-
Date Issued
2020
Author(s)
Abstract
In this article we establish the a priori bounds of the Toda systems with arbitrarily many singular sources associated to the simple Lie algebras of type D4 and F4, extending the previous works of Lin et al. [27,20,24] for the An,Bn,Cn and G2 type Lie algebras. The problem of obtaining a priori estimates can be reduced to locating the local mass of blowup solutions. The key step is to calculate the local mass near each blowup points efficiently. A precise estimate on the total mass of entire solutions of Toda systems with many singular sources is an indispensable step in our argument.
Type
journal article