Supported blow-up and prescribed scalar curvature on Sn / Man Chun Leung
Type de document : MonographieCollection : Memoirs of the American Mathematical Society, 1002Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2011Description : 1 vol. (V-99 p.) ; 26 cmISBN: 9780821853375.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 97-99.Sujet MSC : 53C21, Global differential geometry, Methods of global Riemannian geometry, including PDE methods; curvature restrictions35J60, PDEs - Elliptic equations and elliptic systems, Nonlinear elliptic equations
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | Séries AMS (Browse shelf(Opens below)) | Available | 06810-01 |
Bibliogr. p. 97-99
The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on Sn. When n ≥ 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 ≥ 5 with rather natural condition. (Source : AMS)
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