Double positive solutions of a three-point boundary value problem for the one-dimensional \(p\)-Laplacian.

DOI10.1016/j.aml.2004.03.001zbMath1062.34011OpenAlexW2142693217MaRDI QIDQ1767138

Xiao-Ming He

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.03.001

zbMATH Keywords

\(p\)-Laplacian operatorFixed-pointsPositive solutionCone

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

Positive solutions for one-dimensional third-order \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a system of \(p\)-Laplacian boundary value problems ⋮ Positive solutions for a fourth order \(p\)-Laplacian boundary value problem ⋮ Multiple positive solutions for some four-point boundary value problems with \(p\)-Laplacian ⋮ Double positive solutions for a nonlinear four-point boundary value problem with a \(p\)-Laplacian operator ⋮ Multiple positive solutions for a class of nonlinear four-point boundary value problems with \(p\)-Laplacian ⋮ Positive solutions for a system of second-order quasilinear boundary value problems ⋮ A necessary and sufficient condition for the existence of positive solutions to a kind of singular three-point boundary value problem

Cites Work

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• A unified approach to some two-point, three-point, and four-point boundary value problems with Carathéodory functions
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• On the existence and multiplicity of positive solutions of the \(p\)-Laplacian separated boundary value problem
• On the Existence of Positive Solutions to a Three‐Point Boundary Value Problem for the One‐Dimensional p‐Laplacian
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• A Remark on Some Three-Point Boundary Value Problems for the One-Dimensional p-Laplacian

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