Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix

Details Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix

2011-10-06

arxiv.org/abs/1110.1157v1

Mathematics

Analysis of PDEs

Part I, 32 pages; Part II, 31 pages; Appendix, 32 pages

Scientific paper

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.

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