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https://hdl.handle.net/1959.11/18573
Title: | On the prescribed scalar curvature problem in RN, local uniqueness and periodicity | Contributor(s): | Deng, Yinbin (author); Lin, Chang-Shou (author); Yan, Shusen (author) | Publication Date: | 2015 | DOI: | 10.1016/j.matpur.2015.07.003 | Handle Link: | https://hdl.handle.net/1959.11/18573 | Abstract: | We obtain a local uniqueness result for bubbling solutions of the prescribed scalar curvature problem in RN. Such a result implies that some bubbling solutions preserve the symmetry from the scalar curvature K(y). In particular, we prove in this paper that if K(y)is periodic in y₁ with period 1 and has a local maximum at 0, then a bubbling solution whose blow-up set is {(jL, 0, ···, 0) :j=0, ±1, ±2, ···} must be periodic in y₁ provided the positive integer L is large enough. | Publication Type: | Journal Article | Grant Details: | ARC/DP130102773 | Source of Publication: | Journal de Mathematiques Pures et Appliquees, 104(6), p. 1013-1044 | Publisher: | Elsevier Masson | Place of Publication: | France | ISSN: | 1776-3371 0021-7824 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Fields of Research (FoR) 2020: | 490410 Partial differential equations | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article |
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