{
  "id": "1810.12230",
  "version": "v1",
  "published": "2018-10-29T16:18:10.000Z",
  "updated": "2018-10-29T16:18:10.000Z",
  "title": "A priori estimates for elliptic equations with reaction terms involving the function and its gradient",
  "authors": [
    "Marie-Françoise Bidaut-Véron",
    "Marta Garcia-Huidobro",
    "Laurent Veron"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study local and global properties of solutions of --$\\Delta$u = u p + M ||u| q in a domain $\\Omega$ of R N, in the range min{p, q} > 1 and M $\\in$ R. We prove a priori estimates and existence or non-existence of ground states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-29T16:18:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J62"
    ],
    "keywords": [
      "priori estimates",
      "elliptic equations",
      "reaction terms",
      "study local",
      "global properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}