{
  "id": "1807.05880",
  "version": "v1",
  "published": "2018-07-16T14:13:41.000Z",
  "updated": "2018-07-16T14:13:41.000Z",
  "title": "Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient",
  "authors": [
    "Nikolaos S. Papageorgiou",
    "Vicenţiu D. Rădulescu",
    "Dušan D. Repovš"
  ],
  "journal": "Appl. Math. Optim. 78:1 (2018), 1-23",
  "doi": "10.1007/s00245-016-9392-y",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient. The convex subdifferential incorporates in our framework problems with unilateral constraints (variational inequalities). Using topological methods and the Moreau-Yosida approximations of the subdifferential term, we establish the existence of a smooth solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-16T14:13:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35K85"
    ],
    "keywords": [
      "nonlinear elliptic inclusions",
      "unilateral constraint",
      "nonlinear neumann elliptic inclusion",
      "dependence",
      "convex subdifferential incorporates"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}