Please use this identifier to cite or link to this item: https://doi.org/10.1090/S0065-9266-2011-00636-2
Title: Supported blow-up and prescribed scalar curvature on S n
Authors: Leung, M.C. 
Keywords: Blow-up
Noncompactness
Removable singularity
Scalar curvature
Issue Date: Sep-2011
Source: Leung, M.C. (2011-09). Supported blow-up and prescribed scalar curvature on S n. Memoirs of the American Mathematical Society 213 (1002) : 1-105. ScholarBank@NUS Repository. https://doi.org/10.1090/S0065-9266-2011-00636-2
Abstract: We expound the notion of supported blow-up and apply it to study the renowned Nirenberg/Kazdan-Warner problem on S n. When n ≥ 5 and under some mild conditions, we show that blow-up at a point with positive definite Hessian has to be a supported isolated blow-up, which, when combined with a uniform volume bound, is a removable singularity. A new asymmetric condition is introduced to exclude single simple blow-up. These enable us to obtain a general existence theorem for n ≥ 5 with rather natural condition. © 2011 American Mathematical Society.
Source Title: Memoirs of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/114392
ISSN: 00659266
DOI: 10.1090/S0065-9266-2011-00636-2
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