{
  "id": "2003.05340",
  "version": "v1",
  "published": "2020-03-11T14:54:16.000Z",
  "updated": "2020-03-11T14:54:16.000Z",
  "title": "Existence results for super-Liouville equations on the sphere via bifurcation theory",
  "authors": [
    "Aleks Jevnikar",
    "Andrea Malchiodi",
    "Ruijun Wu"
  ],
  "comment": "23pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We are concerned with super-Liouville equations on the two sphere, which have variational structure with a strongly-indefinite functional. We prove the existence of non-trivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-11T14:54:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J05",
      "35A01",
      "58E05",
      "81Q60"
    ],
    "keywords": [
      "bifurcation theory",
      "super-liouville equations",
      "existence results",
      "variational structure",
      "strongly-indefinite functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}