{
  "id": "2308.01122",
  "version": "v1",
  "published": "2023-08-02T13:05:55.000Z",
  "updated": "2023-08-02T13:05:55.000Z",
  "title": "Measure Data for a General Class of Nonlinear Elliptic Problems",
  "authors": [
    "Mohammed El Ansari",
    "Youssef Akdim",
    "Soumia Lalaoui Rhali"
  ],
  "comment": "27",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider nonlinear elliptic inclusion having a measure in the right-hand side of the type $\\beta(u)-div a(x,Du)\\ni \\mu$ in $\\Omega$ a bounded domain in $\\mathbb{R}^{N},$ with $\\beta$ is a maximal monotone graph in $\\mathbb{R}^2$ and $a(x,Du)$ is a Leray-Lions type operator. We study a suitable notion of solution for this kind of problem. The functional setting involves anisotropic Sobolev spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-02T13:05:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35A01"
    ],
    "keywords": [
      "nonlinear elliptic problems",
      "general class",
      "measure data",
      "anisotropic sobolev spaces",
      "maximal monotone graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}