Existence of positive solutions for fourth-order \(m\)-point boundary value problems with a one-dimensional \(p\)-Laplacian operator

DOI10.1016/j.na.2009.01.191zbMath1175.34026OpenAlexW1976908013MaRDI QIDQ923958

Jingbao Yang, Zhongli Wei

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.191

zbMATH Keywords

Krasnoselskii's fixed point theoremmulti-point boundary value problemslower semi-continuous functionsone-dimensional \(p\)-Laplacian operator

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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Unnamed Item ⋮ Positive solutions for a fourth order \(p\)-Laplacian boundary value problem ⋮ Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations ⋮ Existence of positive solutions for a fourth-order \(m\)-point boundary value problem ⋮ Existence of positive solutions for higher order \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a fourth-order \(p\)-Laplacian boundary value problem with impulsive effects ⋮ Existence of positive solutions to a nonlocal boundary value problem with \(p\)-Laplacian on time scales ⋮ Positive solutions for \(p\)-Laplacian fourth-order differential system with integral boundary conditions ⋮ Positive solutions for a fourth order discrete p -Laplacian boundary value problem

Cites Work

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• The existence of positive solutions for a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator
• Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• A multiplicity result for a boundary value problem with infinitely many singularities
• Multiple positive solutions for \(m\)-point boundary-value problems with a one-dimensional \(p\)-Laplacian