{
  "id": "1909.10212",
  "version": "v1",
  "published": "2019-09-23T08:24:16.000Z",
  "updated": "2019-09-23T08:24:16.000Z",
  "title": "Best Sobolev constants in the presence of sharp Hardy terms in Euclidean and hyperbolic space",
  "authors": [
    "Gerassimos Barbatis",
    "Achilles Tertikas"
  ],
  "comment": "27 pages",
  "journal": "Bulletin of the Hellenic Mathematical Society, Volume 63 (2019), pp 64-96",
  "categories": [
    "math.AP",
    "math.DG",
    "math.SP"
  ],
  "abstract": "In this article we compute the best Sobolev constants for various Hardy-Sobolev inequalities with sharp Hardy term. This is carried out in three different environments: interior point singularity in Euclidean space, interior point singularity in hyperbolic space and boundary point singularity in Euclidean domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-23T08:24:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A23",
      "35J75",
      "35J60",
      "46E35",
      "35J60",
      "58E35"
    ],
    "keywords": [
      "sharp hardy term",
      "best sobolev constants",
      "hyperbolic space",
      "interior point singularity",
      "boundary point singularity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}