{
  "id": "1910.12014",
  "version": "v1",
  "published": "2019-10-26T07:16:16.000Z",
  "updated": "2019-10-26T07:16:16.000Z",
  "title": "Another multiplicity result for the periodic solutions of certain systems",
  "authors": [
    "Biagio Ricceri"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we deal with a problem of the type $$\\cases{(\\phi(u'))'=\\nabla_xF(t,u) & in $[0,T]$\\cr & \\cr u(0)=u(T)\\ , \\hskip 3pt u'(0)=u'(T)\\ ,\\cr}$$ where, in particular, $\\phi$ is a homeomorphism from an open ball of ${\\bf R}^n$ onto ${\\bf R}^n$. Using the theory developed by Brezis and Mawhin in [1] jointly with our minimax theorem proved in [3], we obtain a general multiplicity result, under assumptions of qualitative nature only. Three remarkable corollaries are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-26T07:16:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic solutions",
      "general multiplicity result",
      "minimax theorem",
      "open ball",
      "homeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}