{
  "id": "2407.18354",
  "version": "v1",
  "published": "2024-07-25T19:40:47.000Z",
  "updated": "2024-07-25T19:40:47.000Z",
  "title": "A Symmetry problem for some quasi-linear equations in Euclidean space",
  "authors": [
    "Ramya Dutta",
    "Pierre-Damien Thizy"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove sharp asymptotic estimates for the gradient of positive solutions to certain nonlinear $p$-Laplace equations in Euclidean space by showing symmetry and uniqueness of positive solutions to associated limiting problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-25T19:40:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B06",
      "35B33",
      "35B44",
      "35B45",
      "35J92"
    ],
    "keywords": [
      "euclidean space",
      "symmetry problem",
      "quasi-linear equations",
      "sharp asymptotic estimates",
      "positive solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}