{
  "id": "2104.02407",
  "version": "v1",
  "published": "2021-04-06T10:31:37.000Z",
  "updated": "2021-04-06T10:31:37.000Z",
  "title": "Mixed boundary value problems for fully nonlinear degenerate or singular equations",
  "authors": [
    "Isabeau Birindelli",
    "Francoise Demengel",
    "Fabiana Leoni"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove existence, uniqueness and regularity results for mixed boundary value problems associated with fully nonlinear, possibly singular or degenerate elliptic equations. Our main result is a global H\\\"older estimate for solutions, obtained by means of the comparison principle and the construction of ad hoc barriers. The global H\\\"older estimate immediately yields a compactness result in the space of solutions, which could be applied in the study of principal eigenvalues and principal eigenfunctions of mixed boundary value problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-06T10:31:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J66",
      "35J70",
      "35J75"
    ],
    "keywords": [
      "mixed boundary value problems",
      "fully nonlinear degenerate",
      "singular equations",
      "degenerate elliptic equations",
      "ad hoc barriers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}