Positive Solutions of the One-Dimensional p-Laplacian with Nonlinearity Defined on a Finite Interval
We use the quadrature method to show the existence and multiplicity of positive solutions of the boundary value problems involving one-dimensional p-Laplacian u′t|p−2u′t′+λfut=0, t∈0,1, u(0)=u(1)=0, where p∈(1,2], λ∈(0,∞) is a parameter, f∈C1([0,r),[0,∞)) for some constant r>0, f(s)>0 in (0,r)...
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Main Authors: | Ruyun Ma, Chunjie Xie, Abubaker Ahmed |
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Format: | Article |
Language: | English |
Published: |
Wiley
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/492026 |
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