{
  "id": "math/0701757",
  "version": "v1",
  "published": "2007-01-25T21:53:07.000Z",
  "updated": "2007-01-25T21:53:07.000Z",
  "title": "A multiplicity result for the problem $δd ξ= f'(<ξ,ξ>)ξ$",
  "authors": [
    "Antonio Azzollini"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold $\\delta d \\xi = f'(<\\xi,\\xi>)\\xi$. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci and Fortunato. We obtain a multiplicity result both in the positive mass case (i.e. $f'(t)\\geq\\epsilon>0$ uniformly) and in the zero mass case ($f'(t)\\geq 0$ and $f'(0)=0$) where a strong convexity hypothesis on the nonlinearity is assumed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-25T21:53:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "multiplicity result",
      "zero mass case",
      "semilinear maxwell equations",
      "strong convexity hypothesis",
      "compact riemannian manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1757A"
    }
  }
}