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https://hdl.handle.net/1959.11/5603| Title: | Peak Solutions for the Dirichlet Problem of an Elliptic System | Contributor(s): | Dancer, Edward N (author); Hilhorst, Danielle (author); Yan, Shusen (author) | Publication Date: | 2009 | DOI: | 10.3934/dcds.2009.24.731 | Handle Link: | https://hdl.handle.net/1959.11/5603 | Abstract: | We study a system of elliptic equations arising from biology with a chemotaxis term. This system is non-variational. Using a reduction argument, we show that the system has solutions with peaks near the boundary and inside the domain. | Publication Type: | Journal Article | Source of Publication: | Discrete and Continuous Dynamical Systems. Series A, 24(3), p. 731-761 | Publisher: | AIMS Press | Place of Publication: | United States of America | ISSN: | 1553-5231 1078-0947 |
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 |
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| Appears in Collections: | Journal Article |
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