Towering Phenomena for the Yamabe Equation on Symmetric Manifolds

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dc.contributor.authorMorabito, Filippoko
dc.contributor.authorPistoia, Angelako
dc.contributor.authorVaira, Giusiko
dc.date.accessioned2017-08-08T06:05:53Z-
dc.date.available2017-08-08T06:05:53Z-
dc.date.created2017-07-17-
dc.date.created2017-07-17-
dc.date.created2017-07-17-
dc.date.issued2017-07-
dc.identifier.citationPOTENTIAL ANALYSIS, v.47, no.1, pp.53 - 102-
dc.identifier.issn0926-2601-
dc.identifier.urihttp://hdl.handle.net/10203/225092-
dc.description.abstractLet (M, g) be a compact smooth connected Riemannian manifold (without boundary) of dimension N ae<yen> 7. Assume M is symmetric with respect to a point xi (0) with non-vanishing Weyl's tensor. We consider the linear perturbation of the Yamabe problem We prove that for any k a a"center dot, there exists epsilon (k) > 0 such that for all epsilon a (0, epsilon (k) ) the problem (P (oee-) ) has a symmetric solution u (epsilon) , which looks like the superposition of k positive bubbles centered at the point xi (0) as epsilon -> 0. In particular, xi (0) is a towering blow-up point.-
dc.languageEnglish-
dc.publisherSPRINGER-
dc.titleTowering Phenomena for the Yamabe Equation on Symmetric Manifolds-
dc.typeArticle-
dc.identifier.wosid000404517200005-
dc.identifier.scopusid2-s2.0-85006445244-
dc.type.rimsART-
dc.citation.volume47-
dc.citation.issue1-
dc.citation.beginningpage53-
dc.citation.endingpage102-
dc.citation.publicationnamePOTENTIAL ANALYSIS-
dc.identifier.doi10.1007/s11118-016-9608-4-
dc.contributor.localauthorMorabito, Filippo-
dc.contributor.nonIdAuthorPistoia, Angela-
dc.contributor.nonIdAuthorVaira, Giusi-
dc.description.isOpenAccessN-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorYamabe problem-
dc.subject.keywordAuthorLinear perturbation-
dc.subject.keywordAuthorBlow-up points-
dc.subject.keywordPlusCONFORMALLY FLAT MANIFOLDS-
dc.subject.keywordPlusCRITICAL SOBOLEV EXPONENT-
dc.subject.keywordPlusNONLINEAR ELLIPTIC-EQUATIONS-
dc.subject.keywordPlusSCALAR CURVATURE-
dc.subject.keywordPlusRIEMANNIAN-MANIFOLDS-
dc.subject.keywordPlusCOMPACTNESS-
dc.subject.keywordPlusPROOF-
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