{
  "id": "math/0609791",
  "version": "v1",
  "published": "2006-09-28T11:21:38.000Z",
  "updated": "2006-09-28T11:21:38.000Z",
  "title": "On the existence of maximizers for functionals with critical exponential growth in R^2",
  "authors": [
    "Cristina Tarsi"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we establish the existence of extremal functions for weighted functionals with critical exponential growth in R^2, which arise from Henon-type equations. The proof is based on the notion of spherical symmetrization with respect to a measure, which allows us to reduce the problem to a one dimensional functional as in the proof due to Carleson and Chang for the unweighted case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-28T11:21:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46E35"
    ],
    "keywords": [
      "critical exponential growth",
      "maximizers",
      "extremal functions",
      "henon-type equations",
      "dimensional functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9791T"
    }
  }
}