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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jfa.2004.07.003
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dc.titleUniqueness and non-existence theorems for conformally invariant equations
dc.contributor.authorXu, X.
dc.date.accessioned2014-10-28T02:49:13Z
dc.date.available2014-10-28T02:49:13Z
dc.date.issued2005-05-01
dc.identifier.citationXu, X. (2005-05-01). Uniqueness and non-existence theorems for conformally invariant equations. Journal of Functional Analysis 222 (1) : 1-28. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jfa.2004.07.003
dc.identifier.issn00221236
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104428
dc.description.abstractBy using the equivalent integral form for the Q-curvature equation, we generalize the well-known non-existence results on two-dimensional Gaussian curvature equation to all dimensional Q-curvature equation. Somehow, we introduce a new approach to Q-curvature equation which is higher order and even pseudo-differential equation. As a by-product, we do classify the solutions for Q = 1 solutions on Sn as well as on Rn with necessary growth rate assumption. © 2004 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jfa.2004.07.003
dc.sourceScopus
dc.subjectConformally invariant integral equations
dc.subjectMethod of moving spheres
dc.subjectQ-curvature
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.jfa.2004.07.003
dc.description.sourcetitleJournal of Functional Analysis
dc.description.volume222
dc.description.issue1
dc.description.page1-28
dc.description.codenJFUAA
dc.identifier.isiut000228195100001
Appears in Collections:Staff Publications

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