{
  "id": "2502.02755",
  "version": "v1",
  "published": "2025-02-04T22:44:20.000Z",
  "updated": "2025-02-04T22:44:20.000Z",
  "title": "Boundary estimates for elliptic operators in divergence form with VMO coefficients",
  "authors": [
    "Hongjie Dong",
    "Seongmin Jeon"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We establish boundary regularity estimates for elliptic systems in divergence form with VMO coefficients. Additionally, we obtain nondegeneracy estimates of the Hopf-Oleinik type lemma for elliptic equations. In both cases, the moduli of continuity are expressed in terms of the $L^p$-mean oscillations of the coefficients and data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-04T22:44:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J15",
      "35J47",
      "35J67"
    ],
    "keywords": [
      "divergence form",
      "vmo coefficients",
      "elliptic operators",
      "boundary estimates",
      "establish boundary regularity estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}