{
  "id": "1404.7709",
  "version": "v2",
  "published": "2014-04-30T13:05:17.000Z",
  "updated": "2015-09-16T07:39:48.000Z",
  "title": "Global estimates and energy identities for elliptic systems with antisymmetric potentials",
  "authors": [
    "Tobias Lamm",
    "Ben Sharp"
  ],
  "comment": "Minor modifications, to appear in Comm. PDE",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We derive global estimates in critical scale invariant norms for solutions of elliptic systems with antisymmetric potentials and almost holomorphic Hopf differential in two dimensions. Moreover we obtain new energy identities in such norms for sequences of solutions of these systems. The results apply to harmonic maps into general target manifolds and surfaces with prescribed mean curvature. In particular our results confirm a conjecture of Rivi\\`ere in the two-dimensional setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-30T13:05:17.000Z",
      "comment": "28 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-09-16T07:39:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic systems",
      "global estimates",
      "antisymmetric potentials",
      "energy identities",
      "general target manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.7709L"
    }
  }
}