Classification of blowup limits for $\mathrm{SU}(3)$ singular Toda systems

Abstract

For singular $SU\left(3\right)$ Toda systems, we prove that the limit of energy concentration is a finite set. In addition, for fully bubbling solutions we use a Pohozaev identity to prove a uniform estimate. Our results extend previous results of Jost, Lin and Wang on regular $SU\left(3\right)$ Toda systems.