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

Man Chun Leung

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arXiv · 1110.1157

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

Man Chun Leung

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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.

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Man Chun Leung. 2011-10-06. Construction of Blow-up Sequence for the Conformal Scalar Curvature Equation on S^n. I, II, and Appendix. https://arxiv.org/abs/1110.1157

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