The existence of positive solutions for nonlinear singular boundary value system with \(p\)-Laplacian

DOI10.1016/j.amc.2006.02.017zbMath1111.34020OpenAlexW2036312062MaRDI QIDQ856051

Hua Su, Zhongli Wei, Fu Yi Xu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.017

zbMATH Keywords

positive solution\(p\)-Laplacian operatorsingular boundary value problem

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 (15)

Positive solutions for one-dimensional third-order \(p\)-Laplacian boundary value problems ⋮ A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems ⋮ Several sufficient conditions of solvability for a nonlinear higher order three-point boundary value problem on time scales ⋮ Eigenvalue problems for higher-order \(p\)-Laplacian dynamic equations on time scales ⋮ Solutions for \(p\)-Laplacian dynamic delay differential equations on time scales ⋮ Higher-order dynamic delay differential equations on time scales ⋮ Positive solutions for Sturm-Liouville boundary value problems in a Banach space ⋮ Positive solutions for \(n\)th-order \(m\)-point \(p\)-Laplacian operator singular boundary value problems ⋮ Solutions for higher-order dynamic equations on time scales ⋮ Multiple positive solutions for some four-point boundary value problems with \(p\)-Laplacian ⋮ The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems on time scales ⋮ Systems of nonlinear Sturm-Liouville problems -- the dependence of solutions on functional parameters ⋮ Multiple positive solutions for a class of nonlinear four-point boundary value problems with \(p\)-Laplacian ⋮ Solutions for \(m\)-point BVP with sign changing nonlinearity ⋮ Existence of positive solutions for nonlinear singular boundary value problem with p -Laplacian

Cites Work

• 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
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