Positive Solutions of the One‐Dimensional p‐Laplacian with Nonlinearity Defined on a Finite Interval

Ruyun Ma, Chunjie Xie and Abubaker Ahmed

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We use the quadrature method to show the existence and multiplicity of positive solutions of the boundary value problems involving one‐dimensional p‐Laplacian ′+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), and lim s→r-(r-s) p-1f(s)=+∞.

Date: 2013
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https://doi.org/10.1155/2013/492026

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:492026

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