{
  "id": "1205.2852",
  "version": "v1",
  "published": "2012-05-13T10:54:29.000Z",
  "updated": "2012-05-13T10:54:29.000Z",
  "title": "ε-regularity for systems involving non-local, antisymmetric operators",
  "authors": [
    "Armin Schikorra"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove an epsilon-regularity theorem for critical and super-critical systems with a non-local antisymmetric operator on the right-hand side. These systems contain as special cases, Euler-Lagrange equations of conformally invariant variational functionals as Rivi\\`ere treated them, and also Euler-Lagrange equations of fractional harmonic maps introduced by Da Lio-Rivi\\`ere. In particular, the arguments presented here give new and uniform proofs of the regularity results by Rivi\\`ere, Rivi\\`ere-Struwe, Da-Lio-Rivi\\`ere, and also the integrability results by Sharp-Topping and Sharp, not discriminating between the classical local, and the non-local situations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-13T10:54:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "euler-lagrange equations",
      "non-local antisymmetric operator",
      "fractional harmonic maps",
      "conformally invariant variational functionals",
      "epsilon-regularity theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2852S"
    }
  }
}