{
  "id": "1906.09927",
  "version": "v1",
  "published": "2019-06-24T13:15:11.000Z",
  "updated": "2019-06-24T13:15:11.000Z",
  "title": "Existence of solution for a class of problem in whole $\\mathbb{R}^N$ without the Ambrosetti-Rabinowitz condition",
  "authors": [
    "Claudianor O. Alves",
    "Marco A. S. Souto"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we study the existence of solution for a class of elliptic problem in whole $\\mathbb{R}^N$ without the well known Ambrosetti-Rabinowitz condition. Here, we do not assume any monotonicity condition on $f(s)/s$ for $s>0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-24T13:15:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ambrosetti-rabinowitz condition",
      "monotonicity condition",
      "elliptic problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}