{
  "id": "1407.5518",
  "version": "v1",
  "published": "2014-07-21T15:03:15.000Z",
  "updated": "2014-07-21T15:03:15.000Z",
  "title": "Hardy inequalities for p-Laplacians with Robin boundary conditions",
  "authors": [
    "Tomas Ekholm",
    "Hynek Kovarik",
    "Ari Laptev"
  ],
  "categories": [
    "math.AP",
    "math.SP"
  ],
  "abstract": "In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best constant equals $((p-1)/p)^p$ whenever Dirichlet boundary conditions are imposed on a subset of the boundary of non-zero measure. We also discuss some generalizations to non-convex domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-21T15:03:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "robin boundary conditions",
      "hardy inequality",
      "p-laplacians",
      "dirichlet boundary conditions",
      "best constant equals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.5518E"
    }
  }
}