{
  "id": "1804.07009",
  "version": "v1",
  "published": "2018-04-19T06:28:07.000Z",
  "updated": "2018-04-19T06:28:07.000Z",
  "title": "Non-degeneracy and uniqueness of solutions to singular mean field equations on bounded domains",
  "authors": [
    "Daniele Bartolucci",
    "Aleks Jevnikar",
    "Chang-Shou Lin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this paper is to complete the program initiated in [50], [23] and then carried out by several authors concerning non-degeneracy and uniqueness of solutions to mean field equations. In particular, we consider mean field equations with general singular data on non-smooth domains. The argument is based on the Alexandrov-Bol inequality and on the eigenvalues analysis of linearized singular Liouville-type problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-19T06:28:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J61",
      "35R01",
      "35A02",
      "35B06"
    ],
    "keywords": [
      "singular mean field equations",
      "bounded domains",
      "uniqueness",
      "general singular data",
      "linearized singular liouville-type problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}