Existence of positive solutions for \(m\)-Laplacian boundary value problems

DOI10.1016/S0893-9659(98)00164-5zbMath0952.34015MaRDI QIDQ1808515

Fu-Hsiang Wong

Publication date: 28 December 2000

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

zbMATH Keywords

existencepositive solutionsboundary value problemsshooting method\(m\)-Laplacianlocally Lipschitz continuous

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (29)

Multiple positive solutions for nonlinear singular \(m\)-point boundary value problem ⋮ The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the \(p\)-Laplacian operator ⋮ The existence of positive solutions for nonlinear singular boundary value system with \(p\)-Laplacian ⋮ Existence results of 2m-point boundary value problem of Sturm-Liouville type with sign changing nonlinearity ⋮ Positive solutions of some quasilinear singular second order equations ⋮ Multiple positive solutions for multipoint boundary value problems with one-dimensional \(p\)-Laplacian ⋮ Positive solutions for \(p\)-Laplacian functional dynamic equations on time scales ⋮ The existence of positive solutions for a nonlinear four-point singular boundary value problem with a \(p\)-Laplacian operator ⋮ Solutions and Green's functions for boundary value problems of second-order four-point functional difference equations ⋮ Triple symmetric positive solutions for multipoint boundary-value problem with one-dimensional \(p\)-Laplacian ⋮ A generalization of Mahadevan's version of the Krein-Rutman theorem and applications to \(p\)-Laplacian boundary value problems ⋮ Finite difference solution of a singular boundary value problem for the \(p\)-Laplace operator ⋮ Existence of solutions for a multi-point boundary value problem with a \(p(r)\)-Laplacian ⋮ Positive solutions for \(n\)th-order \(m\)-point \(p\)-Laplacian operator singular boundary value problems ⋮ Positive solutions for third-order \(p\)-Laplacian functional dynamic equations on time scales ⋮ Multiple positive solutions for some \(p\)-Laplacian boundary value problems ⋮ Eigenvalue problems for \(p\)-Laplacian functional dynamic equations on time scales ⋮ Positive solutions of three-point boundary value problems ⋮ Positive solutions for some 1-dimensional boundary value problems of Laplace-type ⋮ Existence of triple symmetric positive solutions for four-point boundary-value problem with one-dimensional \(p\)-Laplacian ⋮ Multiplicity of symmetric positive solutions for a multipoint boundary value problem with a one-dimensional \(p\)-Laplacian ⋮ Existence of positive solutions for boundary value problems of nonlinear functional difference equation with \(p\)-Laplacian operator ⋮ Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian ⋮ Multiple positive solutions for \(m\)-point boundary-value problems with a one-dimensional \(p\)-Laplacian ⋮ Multiple positive solutions for \(p\)-Laplacian functional dynamic equations on time scales ⋮ Positive solutions of singular three-point boundary value problems for the one-dimensional \(p\)-Laplacian ⋮ Existence of positive solutions for \(p\)-Laplacian singular boundary value problems of functional differential equation ⋮ Analytical-numerical investigation of a singular boundary value problem for a generalized Emden-Fowler equation ⋮ Existence and multiplicity results for a class of generalized one-dimensional \(p\)-Laplacian problem

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