{
  "id": "1701.06277",
  "version": "v1",
  "published": "2017-01-23T07:08:12.000Z",
  "updated": "2017-01-23T07:08:12.000Z",
  "title": "Conformal scalar curvature equation on S^n: functions with two close critical points (twin pseudo-peaks)",
  "authors": [
    "Man Chun Leung",
    "Feng Zhou"
  ],
  "comment": "Appendix included",
  "categories": [
    "math.AP"
  ],
  "abstract": "By using the Lyapunov-Schmidt reduction method without perturbation, we consider existence results for the conformal scalar curvature on S^n (n greater or equal to 3) when the prescribed function (after being projected to R^n) has two close critical points, which have the same value (positive), equal \"flatness\" (twin, flatness < n - 2), and exhibit maximal behavior in certain directions (pseudo-peaks). The proof relies on a balance between the two main contributions to the reduced functional - one from the critical points and the other from the interaction of the two bubbles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-23T07:08:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60"
    ],
    "keywords": [
      "conformal scalar curvature equation",
      "close critical points",
      "twin pseudo-peaks",
      "lyapunov-schmidt reduction method",
      "existence results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}