Positive solutions of a focal problem for one-dimensional \(p\)-Laplacian equations

DOI10.1016/j.mcm.2011.11.052zbMath1260.34052OpenAlexW2088933566MaRDI QIDQ1933883

Zhilin Yang, Donal O'Regan

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.11.052

zbMATH Keywords

Dirichlet problemJensen's inequalitypositive solutionfixed point index\(p\)-Laplacian equationfocal problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (9)

Multiple positive solutions of a \((p_{1},p_{2})\)-Laplacian system with nonlinear BCs ⋮ Positive solutions for discrete boundary value problems to one-dimensional \(p\)-Laplacian with delay ⋮ Positive solutions for a second-order \(p\)-Laplacian impulsive boundary value problem ⋮ Positive solutions for a system of fourth-order \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence ⋮ Deviating arguments, impulsive effects, and positive solutions for second order singular \(p\)-Laplacian equations ⋮ Positive solutions for a system of second-order quasilinear boundary value problems ⋮ Positive solutions for an \(n\)th-order quasilinear boundary value problem

Cites Work

• Positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• Multiple positive solutions for singular quasilinear multipoint BVPs with the first-order derivative
• Existence and iteration of positive solutions for one-dimensional \(p\)-Laplacian boundary value problems with dependence on the first-order derivative
• Multiple positive solutions of nonlinear two-point boundary value problems
• Ordinary differential equations with nonlinear boundary conditions
• Three positive solutions for the one-dimensional \(p\)-Laplacian
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• Singular boundary value problems for the one-dimension \(p\)-Laplacian
• Multiple solutions for three-point boundary value problem with nonlinear terms depending on the first order derivative
• Upper and lower solution method and a singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Existence and iteration of positive solutions for some p-Laplacian boundary value problems
• Exact number of solutions for a class of two-point boundary value problems with one-dimensional \(p\)-Laplacian
• Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem with \(p\)-Laplacian
• Positive solutions for one-dimensional \(p\)-Laplacian boundary value problems with dependence on the first order derivative
• Existence and Multiplicity of Positive Solutions for Singular Semipositone p-Laplacian Equations
• Multiple positive solutions for some \(p\)-Laplacian boundary value problems
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