Construction of blow-up sequences for the prescribed scalar curvature equation on S n . II. Annular domains |
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Authors: | Man Chun Leung |
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Affiliation: | 1. Department of Mathematics, National University of Singapore, 10, Lower Kent Ridge Rd., Singapore, 119076, Republic of Singapore
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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 ≥ 6), 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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