{
  "id": "1905.01174",
  "version": "v1",
  "published": "2019-05-03T13:16:16.000Z",
  "updated": "2019-05-03T13:16:16.000Z",
  "title": "Existence and uniqueness results for double phase problems with convection term",
  "authors": [
    "Leszek Gasinski",
    "Patrick Winkert"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider quasilinear elliptic equations with double phase phenomena and a reaction term depending on the gradient. Under quite general assumptions on the convection term we prove the existence of a weak solution by applying the theory of pseudomonotone operators. Imposing some linear conditions on the gradient variable the uniqueness of the solution is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-03T13:16:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "double phase problems",
      "convection term",
      "uniqueness results",
      "quasilinear elliptic equations",
      "linear conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}