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|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:||California, United States||ISSN:||0030-8730||Field of Research (FOR):||010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems||Socio-Economic Outcome Codes:||970101 Expanding Knowledge in the Mathematical Sciences||Peer Reviewed:||Yes||HERDC Category Description:||C1 Refereed Article in a Scholarly Journal||Other Links:||http://pjm.math.berkeley.edu/pjm/2003/210-2/p02.xhtml||Statistics to Oct 2018:||Visitors: 195
|Appears in Collections:||Journal Article|
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