{
  "id": "1901.01168",
  "version": "v1",
  "published": "2019-01-03T09:47:47.000Z",
  "updated": "2019-01-03T09:47:47.000Z",
  "title": "Nodal solutions for nonlinear nonhomogeneous Robin problems",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1811.04417",
  "journal": "Rend. Lincei Mat. Appl. 29:4 (2018), 721-738",
  "doi": "10.4171/RLM/831",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carath\\'eodory function satisfying certain conditions only near zero. Using suitable truncation, comparison, and cut-off techniques, we show that the problem has a sequence of nodal solutions converging to zero in the $C^1(\\overline{\\Omega})$-norm.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-03T09:47:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J60"
    ],
    "keywords": [
      "nonlinear nonhomogeneous robin problems",
      "nodal solutions",
      "nonlinear robin problem driven",
      "nonhomogeneous differential operator plus",
      "cut-off techniques"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}