Titre : | Supported blow-up and prescribed scalar curvature on Sn | Type de document : | texte imprimé | Auteurs : | Man Chun LEUNG, Auteur | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | Année de publication : | cop. 2011 | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 1002 | Importance : | 99 p. | ISBN/ISSN/EAN : | 978-0-8218-5337-5 | Langues : | Anglais (eng) | Mots-clés : | équation différentielle elliptique courbure scalaire transformation | Résumé : | We expound the notion of supported blow-up and apply it to study the renowned Nirenberg/Kazdan-Warner problem on Sn . 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. | Note de contenu : | bibliogr. |
Supported blow-up and prescribed scalar curvature on Sn [texte imprimé] / Man Chun LEUNG, Auteur . - American Mathematical Society, cop. 2011 . - 99 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 1002) . ISBN : 978-0-8218-5337-5 Langues : Anglais ( eng) Mots-clés : | équation différentielle elliptique courbure scalaire transformation | Résumé : | We expound the notion of supported blow-up and apply it to study the renowned Nirenberg/Kazdan-Warner problem on Sn . 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. | Note de contenu : | bibliogr. |
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