{
  "id": "1702.04534",
  "version": "v1",
  "published": "2017-02-15T10:13:13.000Z",
  "updated": "2017-02-15T10:13:13.000Z",
  "title": "Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on $\\mathbb{R}^{N}$",
  "authors": [
    "Claudianor O. Alves",
    "Alan C. B. dos Santos"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation $$ -\\Delta u+V(x)u-\\Delta_{p}u+W'(u)=0, \\,\\,\\, \\mbox{in} \\,\\,\\, \\mathbb{R}^{N}, \\eqno{(P)} $$ where $u=(u_1,u_2,...,u_{N+1})$, $p>N \\geq 2$, $W$ is a singular function and $V$ is a positive continuous function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-15T10:13:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35A15"
    ],
    "keywords": [
      "quasilinear elliptic field equation",
      "multiplicity",
      "quasilinear field equation",
      "singular function",
      "establish existence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}