{
  "id": "1410.4994",
  "version": "v2",
  "published": "2014-10-18T19:19:38.000Z",
  "updated": "2015-04-15T12:51:06.000Z",
  "title": "Moser-Trudinger inequalities for singular Liouville systems",
  "authors": [
    "Luca Battaglia"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove a Moser-Trudinger inequality for the Euler-Lagrange functional of a general singular Liouville system. We characterize the values of the parameters which yield coercivity for the functional and we give necessary conditions for boundedness from below. We also provide a sharp inequality under some assumptions on the coefficients of the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-18T19:19:38.000Z",
      "comment": "24 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-15T12:51:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A23",
      "35J47",
      "35J50",
      "58E35"
    ],
    "keywords": [
      "moser-trudinger inequality",
      "general singular liouville system",
      "euler-lagrange functional",
      "yield coercivity",
      "necessary conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.4994B"
    }
  }
}