Positive solutions of four-point boundary value problems for higher-order \(p\)-Laplacian operator

DOI10.1016/j.jmaa.2006.07.017zbMath1127.34013OpenAlexW2120299888MaRDI QIDQ879029

Zhongli Wei, Xiaoyan Zhang, Hua Su, Baohe Wang

Publication date: 4 May 2007

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.2006.07.017

zbMATH Keywords

positive solutionhigher dimensional \(p\)-laplacianSingular multipoint boundary value problem

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Solvability of periodic boundary value problem for fractional \(p\)-Laplacian equation ⋮ Solvability of anti-periodic boundary value problem for coupled system of fractional \(p\)-Laplacian equation ⋮ On the periodic boundary value problem for Duffing type fractional differential equation with \(p\)-Laplacian operator ⋮ Twin iterative solutions for a fractional differential turbulent flow model ⋮ Positive solutions of higher-order four-point boundary value problem with \(p\)-Laplacian operator ⋮ Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations ⋮ Solutions for \(p\)-Laplacian dynamic delay differential equations on time scales ⋮ Solvability of fractional boundary value problems with \(p\)-Laplacian operator ⋮ Positive solutions for a higher-order four-point boundary value problem with a \(p\)-Laplacian ⋮ An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator ⋮ Extremal solutions to fourth-order functional boundary value problems including multipoint conditions ⋮ Solutions for \(m\)-point BVP with sign changing nonlinearity ⋮ Some existence results on boundary value problems for fractional \(p\)-Laplacian equation at resonance

Cites Work

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• Positive solutions of some three point boundary value problems via fixed point index theory.
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• Positive solutions of a nonlinear three-point boundary value problem
• Positive solutions of a nonlinear three-point boundary value problem
• Existence of solutions of nonlinear \(m\)-point boundary-value problems

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