{
  "id": "2004.11592",
  "version": "v1",
  "published": "2020-04-24T08:29:21.000Z",
  "updated": "2020-04-24T08:29:21.000Z",
  "title": "Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction",
  "authors": [
    "N. S. Papageorgiou",
    "D. D. Repovš",
    "C. Vetro"
  ],
  "journal": "J. Geom. Anal. 30:2 (2020), 1774-1803",
  "doi": "10.1007/s12220-019-00278-0",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carath\\'eodory terms. One is parametric, $(p-1)$-sublinear with a partially concave nonlinearity near zero. The other is $(p-1)$-superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter $\\lambda>0$ varies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-24T08:29:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J60"
    ],
    "keywords": [
      "nonlinear nonhomogeneous robin problems",
      "partially concave reaction",
      "nonlinear robin problem driven",
      "nonhomogeneous differential operator",
      "caratheodory terms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}