paper

A note on compactness properties of the singular Toda system

arXiv:1410.4991

Abstract

In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface Σ. In particular, we give a complete proof of the compactness result stated by Jost, Lin and Wang and we extend it to the case of singularities. This is a necessary tool to find solutions through variational methods.

arXiv comment11 pages, 1 figure, accepted on Atti Accad. Naz. Lincei Rend. Lincei Mat. App