Supported Blow-Up and Prescribed Scalar Curvature on $S^n$
Author:   Man Chun Leung
Publisher:   American Mathematical Society
Edition:   New ed.
Volume:   No. 1002
ISBN:  

9780821853375


Pages:   99
Publication Date:   30 December 2012
Format:   Paperback
Availability:   To order   Availability explained
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Supported Blow-Up and Prescribed Scalar Curvature on $S^n$


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Overview

The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on $S^n$. When $n \ge 5$ and under some mild conditions, he shows 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 the author to obtain a general existence theorem for $n \ge 5$ with rather natural condition.

Full Product Details

Author:   Man Chun Leung
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New ed.
Volume:   No. 1002
Weight:   0.369kg
ISBN:  

9780821853375


ISBN 10:   0821853376
Pages:   99
Publication Date:   30 December 2012
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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Man Chun Leung is at National University of Singapore, Republic of Singapore

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