{
  "id": "1710.10422",
  "version": "v1",
  "published": "2017-10-28T08:43:35.000Z",
  "updated": "2017-10-28T08:43:35.000Z",
  "title": "Resonant semilinear Robin problems with a general potential",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "journal": "Electron. J. Qual. Theory Differ. Equ. (2017), art. 70, 15 pp",
  "doi": "10.14232/ejqtde.2017.1.70",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Carath\\'eodory function which is resonant with respect to any nonprincipal eigenvalue both at $\\pm \\infty$ and 0. Using a variant of the reduction method, we show that the problem has at least two nontrivial smooth solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-28T08:43:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J60"
    ],
    "keywords": [
      "resonant semilinear robin problems",
      "general potential",
      "semilinear robin problem driven",
      "nontrivial smooth solutions",
      "laplacian plus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}