Multiple positive solutions for a class of nonlinear four-point boundary value problems with \(p\)-Laplacian

DOI10.1007/S11766-008-0203-3zbMath1174.34017OpenAlexW2127755081MaRDI QIDQ1003929

Xiangfeng Li

Publication date: 6 March 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-0203-3

zbMATH Keywords

fixed-point theorem\(p\)-Laplace operatormultiple positive solutionfour-point singular boundary value 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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

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• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• The existence of positive solutions for nonlinear singular boundary value system with \(p\)-Laplacian
• The solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary-value \newline problems.
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Double positive solutions of a three-point boundary value problem for the one-dimensional \(p\)-Laplacian.
• Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
• Double positive solutions for a nonlinear four-point boundary value problem with a \(p\)-Laplacian operator
• Existence of multiple positive solutions for Sturm-Liouville-like four-point boundary value problem with \(p\)-Laplacian
• Existence of three positive solutions for boundary value problems with \(p\)-Laplacian
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$

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