{
  "id": "1404.7649",
  "version": "v1",
  "published": "2014-04-30T09:32:57.000Z",
  "updated": "2014-04-30T09:32:57.000Z",
  "title": "Existence and nonexistence of least energy nodal solution for a class of elliptic problem in $\\mathbb{R}^{2}$",
  "authors": [
    "Claudianor O. Alves",
    "Denilson S. Pereira"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this work, we prove the existence of least energy nodal solution for a class of elliptic problem in both cases, bounded and unbounded domain, when the nonlinearity has exponential critical growth in $\\mathbb{R}^2$. Moreover, we also prove a nonexistence result of least energy nodal solution for the autonomous case in whole $\\mathbb{R}^{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-30T09:32:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A15",
      "35J15"
    ],
    "keywords": [
      "energy nodal solution",
      "elliptic problem",
      "nonexistence result",
      "exponential critical growth",
      "nonlinearity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.7649A"
    }
  }
}