Energy concentration and a priori estimates for B2 and G2 types of toda systems
Journal
International Mathematics Research Notices
Journal Volume
2016
Journal Issue
16
Pages
5076-5105
Date Issued
2016
Author(s)
Zhang, L.
Abstract
For Toda systems with Cartan matrix either <f>$B_2$</f> or <f>$G_2$</f>, we prove that the local mass of blowup solutions at its blowup points converges to a finite set. Furthermore, this finite set can be completely determined for <f>$B_2$</f> Toda systems, while for <f>$G_2$</f> systems we need one additional assumption. As an application of the local mass classification we establish a priori estimates for corresponding Toda systems defined on Riemann surfaces.
SDGs
Type
journal article