Upper and lower solutions for the singular \(p\)-Laplacian with sign changing nonlinearities and nonlinear boundary data

DOI10.1016/J.CAM.2004.11.037zbMath1082.34022OpenAlexW1964372375MaRDI QIDQ557706

Ravi P. Agarwal, Donal O'Regan, Haishen Lü

Publication date: 30 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.11.037

zbMATH Keywords

existencepositive solutionsupper and lower solutionone dimensional \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (6)

Existence results of three-point boundary value problems for second-order ordinary differential equations ⋮ Multiplicity of positive solutions for singular three-point boundary value problems at resonance ⋮ Positive solutions of singular \(p\)-Laplacian dynamic equations with sign changing nonlinearity ⋮ Positive solutions of singular \(p\)-Laplacian BVPs with sign changing nonlinearity on time scales ⋮ Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales ⋮ Existence of positive solutions to singular \(p\)-Laplacian general Dirichlet boundary value problems with sign changing nonlinearity

Cites Work

• Upper and lower solutions for singular problems arising in the theory of membrane response of a spherical cap.
• A singular boundary value problem for the one-dimensional \(p\)-Laplacian
• A note on singular nonlinear boundary value problems for the one-dimensional \(p\)-Laplacian

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