{
  "id": "1911.01781",
  "version": "v1",
  "published": "2019-11-05T14:05:28.000Z",
  "updated": "2019-11-05T14:05:28.000Z",
  "title": "Parametric nonlinear resonant Robin problems",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "journal": "Math. Nachr. 292:11 (2019), 2456-2480",
  "doi": "10.1002/mana.201800505",
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We consider a nonlinear Robin problem driven by the $p$-Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly $(p-1)$-sublinear and the other one is $(p-1)$-linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all large enough values of parameter $\\lambda$ the problem has at least five nontrivial smooth solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-05T14:05:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J20",
      "35J60",
      "58E05"
    ],
    "keywords": [
      "parametric nonlinear resonant robin problems",
      "nonlinear robin problem driven",
      "nonprincipal variational eigenvalue",
      "nontrivial smooth solutions",
      "variational tools"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}