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|Title:||Supported blow-up and prescribed scalar curvature on S n|
|Citation:||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.|
|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|
|Appears in Collections:||Staff Publications|
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