{
  "id": "1708.03932",
  "version": "v1",
  "published": "2017-08-13T16:53:14.000Z",
  "updated": "2017-08-13T16:53:14.000Z",
  "title": "Poincare Inequalities and Neumann Problems for the p-Laplacian",
  "authors": [
    "David Cruz-Uribe",
    "Scott Rodney",
    "Emily Rosta"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove an equivalence between weighted Poincare inequalities and the existence of weak solutions to a Neumann problem related to a degenerate p- Laplacian. The Poincare inequalities are formulated in the context of degenerate Sobolev spaces defined in terms of a quadratic form, and the associated matrix is the source of the degeneracy in the p-Laplacian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-13T16:53:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "neumann problem",
      "p-laplacian",
      "degenerate sobolev spaces",
      "weak solutions",
      "weighted poincare inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}