{
  "id": "1305.2571",
  "version": "v1",
  "published": "2013-05-12T09:21:15.000Z",
  "updated": "2013-05-12T09:21:15.000Z",
  "title": "Ground state solution for a Kirchhoff problem with exponential critical growth",
  "authors": [
    "Giovany M. Figueiredo",
    "Uberlandio B. Severo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish the existence of a positive ground state solution for a Kirchhoff problem in $\\mathbb{R}^2$ involving critical exponential growth, that is, the nonlinearity behaves like $\\exp(\\alpha_{0}s^{2})$ as $|s| \\to \\infty$, for some $\\alpha_{0}>0$. In order to obtain our existence result we used minimax techniques combined with the Trudinger-Moser inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-12T09:21:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential critical growth",
      "kirchhoff problem",
      "positive ground state solution",
      "trudinger-moser inequality",
      "minimax techniques"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.2571F"
    }
  }
}