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https://hdl.handle.net/1959.11/7230| Title: | A Neumann problem with critical exponent in nonconvex domains and Lin-Ni's conjecture | Contributor(s): | Wang, Liping (author); Wei, Juncheng (author); Yan, Shusen (author) | Publication Date: | 2010 | Handle Link: | https://hdl.handle.net/1959.11/7230 | Abstract: | In this paper, we consider the nonlinear elliptic Neumann problem... [This] equation arises in many branches of applied science. For example, it can be viewed as a steady-state equation for the shadow system of the Gierer-Meinhardt system in biology pattern formation, or for parabolic equations in chemotaxis, e.g. the Keller-Segel model. | Publication Type: | Journal Article | Source of Publication: | Transactions of the American Mathematical Society, 362(9), p. 4581-4615 | Publisher: | American Mathematical Society | Place of Publication: | United States of America | ISSN: | 1088-6850 0002-9947 |
Fields of Research (FoR) 2008: | 010110 Partial Differential Equations | Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal | Publisher/associated links: | http://www.ams.org/journals/tran/2010-362-09/S0002-9947-10-04955-X/home.html |
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| Appears in Collections: | Journal Article |
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