{
  "id": "1710.00525",
  "version": "v1",
  "published": "2017-10-02T08:19:04.000Z",
  "updated": "2017-10-02T08:19:04.000Z",
  "title": "Existence of multiple periodic solutions for a semilinear wave equation in an $n$-dimensional ball",
  "authors": [
    "Hui Wei",
    "Shuguan Ji"
  ],
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is devoted to the study of periodic solutions for a radially symmetric semilinear wave equation in an $n$-dimensional ball. By combining the variational methods and saddle point reduction technique, we prove there exist at least three periodic solutions for arbitrary space dimension $n$. The structure of the spectrum of the linearized problem plays an essential role in the proof, and the construction of a suitable working space is devised to overcome the restriction of space dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-02T08:19:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple periodic solutions",
      "dimensional ball",
      "radially symmetric semilinear wave equation",
      "saddle point reduction technique",
      "space dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}