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https://hdl.handle.net/1959.11/20208| Title: | Infinitely many positive solutions for a nonlinear field equation with super-critical growth | Contributor(s): | Musso, Monica (author); Wei, Juncheng (author); Yan, Shusen (author) | Publication Date: | 2016 | DOI: | 10.1112/plms/pdv063 | Handle Link: | https://hdl.handle.net/1959.11/20208 | Abstract: | We consider the following nonlinear field equation with super-critical growth: (∗) −Δu + λu = Q(y)u(N+2)/(N−2), u>0 inRN+m, u(y) →0 as |y| → +∞, where m 1, λ 0 and Q(y) is a bounded positive function. We show that equation (*) has infinitely many positive solutions under certain symmetry conditions on Q(y). | Publication Type: | Journal Article | Grant Details: | ARC/DP130102773 | Source of Publication: | Proceedings of the London Mathematical Society, 112(1), p. 1-26 | Publisher: | Wiley-Blackwell Publishing Ltd | Place of Publication: | United Kingdom | ISSN: | 1460-244X 0024-6115 |
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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