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https://hdl.handle.net/1959.11/3461| Title: | Some Remarks on Liouville Type Results For Quasilinear Elliptic Equations | Contributor(s): | Du, Yihong (author) ; Dancer, Edward Norman (author) |
Publication Date: | 2003 | Handle Link: | https://hdl.handle.net/1959.11/3461 | Abstract: | For a wide class of nonlinearities f(u) satisfying f(0)=f(a)=0, f(u)>0 in (0,a) and f(u)<0 in (a,∞), we show that any nonnegative solution of the quasilinear equation -Δpu=f(u) over the entire ℝ^N must be a constant. Our results improve or complement some recently obtained Liouville type theorems. In particular, we completely answer a question left open by Du and Guo. | Publication Type: | Journal Article | Source of Publication: | Proceedings of the American Mathematical Society, 131(6), p. 1891-1899 | Publisher: | American Mathematical Society | Place of Publication: | United States of America | ISSN: | 1088-6826 0002-9939 |
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://www.jstor.org/stable/info/1194368 |
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| Appears in Collections: | Journal Article School of Science and Technology |
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