Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix
arXiv:1110.1157
Abstract
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, β} smoothness.
arXiv commentPart I, 32 pages; Part II, 31 pages; Appendix, 32 pages