{
  "id": "1605.09412",
  "version": "v1",
  "published": "2016-05-30T20:52:14.000Z",
  "updated": "2016-05-30T20:52:14.000Z",
  "title": "Existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs",
  "authors": [
    "Marek Galewski",
    "Renata Wieteska"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We use the direct variational method, the Ekeland variational principle, the mountain pass geometry and Karush-Kuhn-Tucker theorem in order to investigate existence and multiplicity results for boundary value problems connected with the discrete p(.)-Laplacian on weighted finite graphs. Several auxiliary inequalities for the discrete p(.)-Laplacian on finite graphs are also derived. Positive solutions are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-30T20:52:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary value problems",
      "weighted finite graphs",
      "multiplicity results",
      "direct variational method",
      "ekeland variational principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}