{
  "id": "2502.07311",
  "version": "v1",
  "published": "2025-02-11T07:17:15.000Z",
  "updated": "2025-02-11T07:17:15.000Z",
  "title": "Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions",
  "authors": [
    "Jinxia Cen",
    "Salvatore A. Marano",
    "Shengda Zeng"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, a new framework for studying the existence of generalized or strongly generalized solutions to a wide class of inclusion systems involving double-phase, possibly competing differential operators, convection, and mixed boundary conditions is introduced. The technical approach exploits Galerkin's method and a surjective theorem for multifunctions in finite dimensional spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-02-11T07:17:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35H30",
      "35J92"
    ],
    "keywords": [
      "mixed boundary conditions",
      "double phase competing operators",
      "differential inclusion systems",
      "convection",
      "technical approach exploits galerkins method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}