{
  "id": "2004.13306",
  "version": "v1",
  "published": "2020-04-28T05:16:19.000Z",
  "updated": "2020-04-28T05:16:19.000Z",
  "title": "Ground state and nodal solutions for a class of double phase problems",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "journal": "Z. Angew. Math. Phys. 71:1 (2020), art. 15, 15 pp",
  "doi": "10.1007/s00033-019-1239-3",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a double phase problem driven by the sum of the $p$-Laplace operator and a weighted $q$-Laplacian ($q<p$), with a weight function which is not bounded away from zero. The reaction term is $(p-1)$-superlinear. Employing the Nehari method, we show that the equation has a ground state solution of constant sign and a nodal (sign-changing) solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-28T05:16:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35D05"
    ],
    "keywords": [
      "nodal solutions",
      "double phase problem driven",
      "ground state solution",
      "weight function",
      "reaction term"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}