{
  "id": "1602.06092",
  "version": "v1",
  "published": "2016-02-19T09:53:43.000Z",
  "updated": "2016-02-19T09:53:43.000Z",
  "title": "On the existence of three solutions for the Dirichlet problem on the Sierpinski gasket",
  "authors": [
    "Brigitte E. Breckner",
    "Dušan Repovš",
    "Csaba Varga"
  ],
  "journal": "Nonlinear Analysis 73:9 (2010), 2980-2990",
  "doi": "10.1016/j.na.2010.06.064",
  "categories": [
    "math.AP"
  ],
  "abstract": "We apply a recently obtained three critical points theorem of B. Ricceri to prove the existence of at least three solutions of certain two-parameters Dirichlet problems defined on the Sierpinski gasket. We also show the existence of at least three nonzero solutions of certain perturbed two-parameters Dirichlet problems on the Sierpinski gasket, using both the mountain pass theorem of Ambrosetti-Rabinowitz and that of Pucci-Serrin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-19T09:53:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "35J20",
      "35J25",
      "35J60",
      "47J30",
      "49J52"
    ],
    "keywords": [
      "sierpinski gasket",
      "mountain pass theorem",
      "perturbed two-parameters dirichlet problems",
      "critical points theorem",
      "nonzero solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160206092B"
    }
  }
}