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https://hdl.handle.net/1959.11/14160| Title: | A Minimization Problem Associated With The Chern-Simons Model With Double Vortex Points On A Torus | Contributor(s): | Lin, Chang-Shou (author); Yan, Shusen (author) | Publication Date: | 2013 | Handle Link: | https://hdl.handle.net/1959.11/14160 | Abstract: | In this paper, we consider the following minimization problem: inf {I(u) : u ϵ H}. (1.4) By a Moser-Trudinger type inequality, 'I'(u) is bounded from below in 'H'. But it is not coercive in 'H'. It turns out that the existence of a minimizer for (1.4) is a very delicate problem. | Publication Type: | Journal Article | Grant Details: | ARC/DP130102773 | Source of Publication: | Bulletin of the Institute of Mathematics: Academia Sinica (New Series), 8(4), p. 491-503 | Publisher: | Institute of Mathematics, Academia Sinica | Place of Publication: | Taiwan | ISSN: | 2304-7895 2304-7909 |
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 | HERDC Category Description: | C2 Non-Refereed Article in a Scholarly Journal | Publisher/associated links: | http://w3.math.sinica.edu.tw/bulletin_ns/20134/2013405.pdf |
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| Appears in Collections: | Journal Article |
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