{
  "id": "2303.13053",
  "version": "v1",
  "published": "2023-03-23T05:57:04.000Z",
  "updated": "2023-03-23T05:57:04.000Z",
  "title": "Classification of solutions to $Δu = u^{-γ}$ in the half-space",
  "authors": [
    "Luigi Montoro",
    "Luigi Muglia",
    "Berardino Sciunzi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide a classification result for positive solutions to $\\Delta u = u^{-\\gamma}$ in the half space, under zero Dirichlet boundary condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-23T05:57:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J75",
      "35A02",
      "35B09"
    ],
    "keywords": [
      "half-space",
      "zero dirichlet boundary condition",
      "half space",
      "classification result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}