Construction of Blow-up Sequence for the Conformal Scalar Curvature   Equation on S^n. I, II, and Appendix
  Using the Lyapunov-Schmidt reduction method, we describe how to use annular domains to construct (scalar curvature) functions on S^n, (n > 5), so that each one of them enables the conformal scalar curvature equation to have a blowing-up sequence of positive solutions. The prescribed scalar curvature function is shown to have C^{n - 1, \beta} smoothness. 
Man Chun Leung
math.AP