English

A note on compactness properties of the singular Toda system

Analysis of PDEs 2015-04-20 v2

Abstract

In this note, we consider blow-up for solutions of the SU(3) Toda system on a compact surface \Sigma. 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.

Keywords

Cite

@article{arxiv.1410.4991,
  title  = {A note on compactness properties of the singular Toda system},
  author = {Luca Battaglia and Gabriele Mancini},
  journal= {arXiv preprint arXiv:1410.4991},
  year   = {2015}
}

Comments

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