A note on compactness properties of the singular Toda system

  • Luca Battaglia

    SISSA, Trieste, Italy
  • Gabriele Mancini

    SISSA, Trieste, Italy

Abstract

In this note, we consider blow-up for solutions of the SU(3)SU(3) Toda system on a compact surface Σ\Sigma. In particular, we give a complete proof of the compactness result stated by Jost, Lin and Wang in [11] and we extend it to the case of singularities. This is a necessary tool to find solutions through variational methods.

Cite this article

Luca Battaglia, Gabriele Mancini, A note on compactness properties of the singular Toda system. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 3, pp. 299–307

DOI 10.4171/RLM/708