Existence of positive solutions for multi-point boundary value problem with strong singularity

DOI10.1007/s10440-009-9554-xzbMath1206.34034OpenAlexW2085920314MaRDI QIDQ708841

Chan-Gyun Kim

Publication date: 14 October 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9554-x

zbMATH Keywords

multiplicitypositive solutions\(p\)-Laplacian\(m\)-point boundary value problem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (7)

Higher order \(m\)-point boundary value problems on time scales ⋮ Algebraic Montgomery--Yang problem: the non-cyclic case ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solvability for second-order nonlocal boundary value problems with \(\dim(\ker M)=2\) ⋮ Unnamed Item ⋮ On the number of positive solutions for a four-point boundary value problem with generalized Laplacian

Cites Work

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• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Existence of multiple positive solutions for multipoint boundary value problems with a one-dimensional \(p\)-Laplacian
• Positive solutions of multi-point boundary value problems at resonance
• Existence of positive solutions for various boundary value problems
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Positive solutions for singular \(m\)-point boundary value problems with positive parameter.
• Global behavior of positive solutions of nonlinear three-point boundary value problems
• Multiple positive solutions to a three-point boundary value problem with \(p\)-Laplacian
• A \(p\)-Laplacian problem with a multi-point boundary condition
• Positive solutions of singular three-point boundary value problems for second-order differential equations
• Multiple positive solutions for \(m\)-point boundary-value problems with a one-dimensional \(p\)-Laplacian
• Nontrivial solutions of \(m\)-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear term
• Positive solutions for a three-point boundary value problem at resonance

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