The existence of positive solutions for a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator

DOI10.1016/J.NA.2006.03.009zbMath1126.34017OpenAlexW2020602715MaRDI QIDQ876925

Hua Su, Zhongli Wei, Baohe Wang

Publication date: 19 April 2007

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.2006.03.009

zbMATH Keywords

positive solution\(p\)-Laplacian operatorfixed-point index theoryfour-point singular boundary value problem

Mathematics Subject Classification ID

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 (22)

Multiplicity for fractional differential equations with \(p\)-Laplacian ⋮ Positive solutions for one-dimensional third-order \(p\)-Laplacian boundary value problems ⋮ Monotone iterative method for fractional \(p\)-Laplacian differential equations with four-point boundary conditions ⋮ System of fractional boundary value problem with \(p\)-Laplacian and advanced arguments ⋮ Positive solutions for a boundary value problem of fractional differential equation with \(p\)-Laplacian operator ⋮ Positive solutions of fractional differential equations with \(p\)-Laplacian ⋮ Existence of concave positive solutions for nonlinear fractional differential equation with \(p\)-Laplacian operator ⋮ On the \(\rho\)-Caputo impulsive \(p\)-Laplacian boundary problem: an existence analysis ⋮ Solutions for \(p\)-Laplacian dynamic delay differential equations on time scales ⋮ Existence of positive solutions for fourth-order \(m\)-point boundary value problems with a one-dimensional \(p\)-Laplacian operator ⋮ Multiple positive solutions for some four-point boundary value problems with \(p\)-Laplacian ⋮ Positive solutions for a four-point boundary value problem with the \(p\)-Laplacian ⋮ Multiple positive solutions to multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects ⋮ Existence of concave positive solutions for boundary value problem of nonlinear fractional differential equation with \(p\)-Laplacian operator ⋮ Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem ⋮ Multiple symmetric positive solutions to a new kind of four point boundary value problem ⋮ Multiple positive solutions of a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator on time scales ⋮ Monotone Iterative Technique for a Class of Four Point BVPs with Reversed Ordered Upper and Lower Solutions ⋮ Positive solutions for a mixed-order three-point boundary value problem for \(p\)-Laplacian ⋮ Solutions for \(m\)-point BVP with sign changing nonlinearity ⋮ Existence of positive solutions for \(p\)-Laplacian boundary value problems of fractional differential equations ⋮ Existence of positive solution to boundary value problem of fractional differential equations with \(p\)-Laplacian operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semilinear elliptic problems in annular domains
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• A multiplicity result for a boundary value problem with infinitely many singularities
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Existence of positive solutions for \(m\)-Laplacian boundary value problems
• Singular nonlinear boundary value problems for second-order ordinary differential equations

This page was built for publication: The existence of positive solutions for a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator