Multiple positive solutions of the one-dimensional \(p\)-Laplacian

DOI10.1016/j.jmaa.2005.10.040zbMath1097.34519OpenAlexW1967424776MaRDI QIDQ819995

Ahmed Hammoudi, Abdelkader Lakmeche

Publication date: 6 April 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.040

zbMATH Keywords

positive solutions\(p\)-Laplacianquadrature methodpositone problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Triple positive solutions of a nonlocal boundary value problem for singular differential equations with \(p\)-Laplacian ⋮ Positive solutions for a system of \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a fourth order \(p\)-Laplacian boundary value problem ⋮ Stability of solutions of a 1-dimensional, \(p\)-Laplacian problem and the shape of the bifurcation curve ⋮ Double positive solutions for a nonlinear four-point boundary value problem with a \(p\)-Laplacian operator ⋮ Exact multiplicity of solutions and S-shaped bifurcation curves for the \(p\)-Laplacian perturbed Gelfand problem in one space variable ⋮ Classification and evolution of bifurcation curves for a multiparameter \(p\)-Laplacian Dirichlet problem ⋮ Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with p-Laplacian ⋮ Classification of bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem with examples ⋮ Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with \(p\)-Laplacian ⋮ Unnamed Item ⋮ Positive solutions for a system of second-order quasilinear boundary value problems ⋮ A concentration phenomenon for \(p\)-Laplacian equation ⋮ Some existence results of positive solutions for \(p\)-Laplacian systems ⋮ Positive and compacton-type solutions for a quasilinear two-point boundary value problem

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