Finite difference solution of a singular boundary value problem for the \(p\)-Laplace operator

DOI10.1007/s11075-010-9405-xzbMath1200.65069OpenAlexW2163228574MaRDI QIDQ1960256

Pedro M. Lima, M. L. Morgado

Publication date: 13 October 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9405-x

zbMATH Keywords

finite difference methodquasilinear elliptic equationnumerical examplesupper and lower solutions\(p\)-Laplaciansingular boundary value problemradial solutionvariable substitutionsecond order nonlinear

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12) Quasilinear elliptic equations (35J62)

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Cites Work

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• Multiple positive solutions for nonlinear eigenvalue problems with the \(p\)-Laplacian
• Numerical solution of a class of singular free boundary problems involving the \(m\)-Laplace operator
• Analytical-numerical investigation of a singular boundary value problem for a generalized Emden-Fowler equation
• Some singular, nonlinear differential equations arising in boundary layer theory
• Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations.
• Existence of positive solutions for \(m\)-Laplacian boundary value problems
• Uniqueness of positive solutions of quasilinear differential equations
• Multiplicity of solutions for critical singular problems
• Analysis of singular boundary value problems for an Emden-Fowler equation
• Ground state solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\)
• Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• Uniqueness of positive solutions for Sturm-Liouville boundary value problems
• Positive radial solutions of p‐Laplacian equation with sign changing nonlinear sources
• Asymptotic and Numerical Approximation of a Nonlinear Singular Boundary Value Problem

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