{
  "id": "1906.01924",
  "version": "v1",
  "published": "2019-06-05T10:32:46.000Z",
  "updated": "2019-06-05T10:32:46.000Z",
  "title": "Double phase problems and a discontinuity property of the spectrum",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "journal": "Proc. Amer. Math. Soc. 147:7 (2019), 2899-2910",
  "doi": "10.1090/proc/14466",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a nonlinear eigenvalue problem driven by the sum of $p$ and $q$-Laplacian. We show that the problem has a continuous spectrum. Our result reveals a discontinuity property for the spectrum of a parametric ($p,q$)-differential operator as the parameter $\\beta\\rightarrow 1^-$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-05T10:32:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35D30",
      "35J60",
      "35P30"
    ],
    "keywords": [
      "double phase problems",
      "discontinuity property",
      "nonlinear eigenvalue problem driven",
      "differential operator",
      "continuous spectrum"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}