{
  "id": "1809.08930",
  "version": "v1",
  "published": "2018-09-21T08:20:28.000Z",
  "updated": "2018-09-21T08:20:28.000Z",
  "title": "Stress concentration for closely located inclusions in nonlinear perfect conductivity problems",
  "authors": [
    "Giulio Ciraolo",
    "Angela Sciammetta"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1803.04148",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium. The governing equation may be degenerate of $p-$Laplace type, with $1<p \\leq N$. We prove optimal $L^\\infty$ estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-21T08:20:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J25",
      "35B44",
      "35B50",
      "35J62",
      "78A48",
      "58J60"
    ],
    "keywords": [
      "nonlinear perfect conductivity problems",
      "closely located inclusions",
      "stress concentration",
      "smooth inclusions",
      "possibly anisotropic medium"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}