{
  "id": "1002.1935",
  "version": "v3",
  "published": "2010-02-09T18:27:48.000Z",
  "updated": "2010-07-28T16:15:21.000Z",
  "title": "Boundary regularity for elliptic systems under a natural growth condition",
  "authors": [
    "Lisa Beck"
  ],
  "comment": "revised version, accepted for publication in Ann. Mat. Pura Appl",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider weak solutions $u \\in u_0 + W^{1,2}_0(\\Omega,R^N) \\cap L^{\\infty}(\\Omega,R^N)$ of second order nonlinear elliptic systems of the type $- div a (\\cdot, u, Du) = b(\\cdot,u,Du)$ in $\\Omega$ with an inhomogeneity satisfying a natural growth condition. In dimensions $n \\in \\{2,3,4\\}$ we show that $\\mathcal{H}^{n-1}$-almost every boundary point is a regular point for $Du$, provided that the boundary data and the coefficients are sufficiently smooth.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-07-28T16:15:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J45",
      "35J55"
    ],
    "keywords": [
      "natural growth condition",
      "boundary regularity",
      "second order nonlinear elliptic systems",
      "weak solutions",
      "boundary data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1935B"
    }
  }
}