{
  "id": "0705.4589",
  "version": "v2",
  "published": "2007-05-31T12:28:46.000Z",
  "updated": "2008-09-11T18:33:16.000Z",
  "title": "Energy identity for approximations of harmonic maps from surfaces",
  "authors": [
    "Tobias Lamm"
  ],
  "comment": "21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We prove the energy identity for min-max sequences of the Sacks-Uhlenbeck and the biharmonic approximation of harmonic maps from surfaces into general target manifolds. The proof relies on Hopf-differential type estimates for the two approximations and on estimates for the concentration radius of bubbles.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-11T18:33:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "35J60",
      "53C43"
    ],
    "keywords": [
      "harmonic maps",
      "energy identity",
      "general target manifolds",
      "hopf-differential type estimates",
      "proof relies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.4589L"
    }
  }
}