{
  "id": "2203.16242",
  "version": "v1",
  "published": "2022-03-30T12:16:52.000Z",
  "updated": "2022-03-30T12:16:52.000Z",
  "title": "Symmetry and monotonicity of singular solutions to $p$-Laplacian systems involving a first order term",
  "authors": [
    "Stefano Biagi",
    "Francesco Esposito",
    "Luigi Montoro",
    "Eugenio Vecchi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by $p$-Laplacian operators and with the additional presence of a nonlinear first order term. By a careful use of a rather new version of the moving plane method, we prove the symmetry of the solutions. The result is already new in the scalar case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-30T12:16:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B06",
      "35J75",
      "35J62",
      "35B51"
    ],
    "keywords": [
      "laplacian systems",
      "monotonicity",
      "nonlinear first order term",
      "laplacian operators",
      "additional presence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}