Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems

Chang-shou Lin, Lei Zhang

Published 2015-05-12Version 1

For Toda systems with Cartan matrix either $B_2$ or $G_2$, we prove that the local mass of blowup solutions at its blowup points converges to a finite set and further more this finite set can be completely determined. As an application of the local mass classification we establish a priori estimates for corresponding Toda systems defined on Riemann surfaces.