{
  "id": "1901.06135",
  "version": "v1",
  "published": "2019-01-18T08:51:53.000Z",
  "updated": "2019-01-18T08:51:53.000Z",
  "title": "Regularity for fully nonlinear elliptic equations with oblique boundary conditions",
  "authors": [
    "Dongsheng Li",
    "Kai Zhang"
  ],
  "journal": "Arch. Ration. Mech. Anal. 228 (2018), no. 3, 923-967",
  "doi": "10.1007/s00205-017-1209-x",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we obtain a series of regularity results for viscosity solutions of fully nonlinear elliptic equations with oblique derivative boundary conditions. In particular, we derive the pointwise $C^{\\alpha}$, $C^{1,\\alpha}$ and $C^{2,\\alpha}$ regularity. As byproducts, we also prove the A-B-P maximum principle, Harnack inequality, uniqueness and solvability of the equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-18T08:51:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35B65",
      "35J60",
      "35D40"
    ],
    "keywords": [
      "fully nonlinear elliptic equations",
      "oblique boundary conditions",
      "oblique derivative boundary conditions",
      "a-b-p maximum principle",
      "viscosity solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}