{
  "id": "2108.11796",
  "version": "v1",
  "published": "2021-08-26T13:55:39.000Z",
  "updated": "2021-08-26T13:55:39.000Z",
  "title": "Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth",
  "authors": [
    "Jihoon Ok",
    "Giovanni Scilla",
    "Bianca Stroffolini"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the partial H\\\"older continuity on boundary points for minimizers of quasiconvex non-degenerate functionals \\begin{equation*} \\F({\\bf u}) \\colon =\\int_{\\Omega} f(x,{\\bf u},D{\\bf u})\\,\\dd x, \\end{equation*} where $f$ satisfies a uniform VMO condition with respect to the $x$-variable, is continuous with respect to ${\\bf u}$ and has a general growth with respect to the gradient variable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-26T13:55:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J47",
      "46E35",
      "49N60"
    ],
    "keywords": [
      "boundary partial regularity",
      "discontinuous quasiconvex integrals",
      "general growth",
      "minimizers",
      "uniform vmo condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}