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Auteur Man Chun LEUNG |
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Supported blow-up and prescribed scalar curvature on Sn / Man Chun LEUNG (cop. 2011)
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 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 . - Providence, R. I. (Etats Unis) : 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
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. Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21522 854/1002 Livre Recherche Salle Disponible