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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
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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
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Appears in Collections:Journal Article
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