{
  "id": "1704.06430",
  "version": "v1",
  "published": "2017-04-21T07:52:24.000Z",
  "updated": "2017-04-21T07:52:24.000Z",
  "title": "Monotonicity and rigidity of solutions to some elliptic systems with uniform limits",
  "authors": [
    "Alberto Farina",
    "Berardino Sciunzi",
    "Nicola Soave"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we prove the validity of Gibbons' conjecture for a coupled competing Gross-Pitaevskii system. We also provide sharp a priori bounds, regularity results and additional Liouville-type theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-21T07:52:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic systems",
      "uniform limits",
      "monotonicity",
      "additional liouville-type theorems",
      "priori bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}