arXiv:1110.1157 Abstract | arXiv Analytics

arXiv:1110.1157 [math.AP]Abstract References Reviews Resources

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

Published 2011-10-06Version 1

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.

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

Categories: math.AP

Subjects: 35J60, 53C21

Keywords: conformal scalar curvature equation, blow-up sequence, construction, lyapunov-schmidt reduction method, prescribed scalar curvature function

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