{
  "id": "1311.7375",
  "version": "v1",
  "published": "2013-11-28T17:12:32.000Z",
  "updated": "2013-11-28T17:12:32.000Z",
  "title": "On the Leray-Schauder degree of the Toda system on compact surfaces",
  "authors": [
    "Andrea Malchiodi",
    "David Ruiz"
  ],
  "comment": "5 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the so-called Toda system of equations on a compact surface. In particular, we discuss the parity of the Leray-Schauder degree of that problem. Our main tool is a theorem of Krasnoselskii and Zabreiko on the degree of maps symmetric with respect to a subspace. This result yields new existence results as well as a new proof of previous results in literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-28T17:12:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toda system",
      "compact surface",
      "leray-schauder degree",
      "main tool",
      "maps symmetric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.7375M"
    }
  }
}