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https://hdl.handle.net/1959.11/3646| Title: | Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems | Contributor(s): | Dancer, Edward Norman (author); Du, Yihong (author) ; Ma, Li (author) |
Publication Date: | 2003 | Handle Link: | https://hdl.handle.net/1959.11/3646 | Abstract: | In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu^p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞. | Publication Type: | Journal Article | Source of Publication: | Pacific Journal of Mathematics, 210(2), p. 215-228 | Publisher: | Pacific Journal of Mathematics | Place of Publication: | United States of America | ISSN: | 1945-5844 0030-8730 |
Fields of Research (FoR) 2008: | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | 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://pjm.math.berkeley.edu/pjm/2003/210-2/p02.xhtml |
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| Appears in Collections: | Journal Article School of Science and Technology |
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