{
  "id": "1306.5404",
  "version": "v4",
  "published": "2013-06-23T13:42:25.000Z",
  "updated": "2015-09-02T21:50:53.000Z",
  "title": "A general existence result for the Toda system on compact surfaces",
  "authors": [
    "Luca Battaglia",
    "Aleks Jevnikar",
    "Andrea Malchiodi",
    "David Ruiz"
  ],
  "comment": "28 pages, 1 figure, accepted on Advances in Mathematics",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existence result using variational methods. The same analysis applies to a mean field equation which arises in fluid dynamics.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-17T10:59:16.000Z",
      "comment": "27 pages, 1 figure",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2015-09-02T21:50:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J50",
      "35J61",
      "35R01"
    ],
    "keywords": [
      "general existence result",
      "toda system",
      "compact surface",
      "non-abelian chern-simons theory",
      "mean field equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.5404B"
    }
  }
}