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|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||ISSN:||1088-6826||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://www.jstor.org/stable/info/1194368||Statistics to Oct 2018:||Visitors: 107
|Appears in Collections:||Journal Article|
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