{
  "id": "2201.00860",
  "version": "v1",
  "published": "2022-01-03T19:58:32.000Z",
  "updated": "2022-01-03T19:58:32.000Z",
  "title": "Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation",
  "authors": [
    "Zeng Liu",
    "Vitaly Moroz"
  ],
  "comment": "7 pages",
  "doi": "10.1016/j.na.2021.112778",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Schr\\\"{o}dinger-Poisson-Slater equation $$-\\Delta u + u+\\lambda(I_{2}*|u|^2)u=|u|^{p-2}u\\quad\\text{in $\\mathbb R^3$},$$ where $p\\in (3,6)$ and $\\lambda>0$. By using direct variational analysis based on the comparison of the ground state energy levels, we obtain a characterization of the limit profile of the positive ground states for $\\lambda\\to \\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-01-03T19:58:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J61",
      "35B09",
      "35B33",
      "35B40",
      "35Q55",
      "45K05"
    ],
    "keywords": [
      "schrödinger-poisson-slater equation",
      "asymptotic profile",
      "ground state energy levels",
      "direct variational analysis",
      "positive ground states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}