• Title of article

    Non-compactness and Multiplicity Results for the Yamabe Problem on Sn

  • Author/Authors

    Berti، نويسنده , , Massimiliano and Malchiodi، نويسنده , , Andrea، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    32
  • From page
    210
  • To page
    241
  • Abstract
    The aim of this paper is to show the existence of metrics gε on Sn, where gε is a perturbation of the standard metric g0, for which the Yamabe problem possesses a sequence of solutions unbounded in L∞(Sn). The metrics gε that we find are of class Ck on Sn with (k⩽n−34). We also prove some new multiplicity results.
  • Journal title
    Journal of Functional Analysis
  • Serial Year
    2001
  • Journal title
    Journal of Functional Analysis
  • Record number

    1550247