Positive solutions for singular \(p\)-Laplacian equations with sign changing nonlinearities using inequality theory

DOI10.1016/J.AMC.2004.04.068zbMath1071.34018OpenAlexW2014543764MaRDI QIDQ1780518

Donal O'Regan, Haishen Lü, Ravi P. Agarwal

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.068

zbMATH Keywords

Positive solutionOne-dimensional \(p\)-LaplacianUpper and lower solution

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (10)

One-dimensional singular problems involving the \(p\)-Laplacian and nonlinearities indefinite in sign ⋮ Triple positive solutions of \(m\)-point BVPs for \(p\)-Laplacian dynamic equations on time scales ⋮ Multiplicity of positive solutions for a \((p_1,p_2)\)-Laplacian system and its applications ⋮ Elliptic system with some singular nonlinearity ⋮ Positive solutions of singular \(p\)-Laplacian dynamic equations with sign changing nonlinearity ⋮ Triple positive pseudo-symmetric solutions of three-point BVPs for \(p\)-Laplacian dynamic equations on time scales ⋮ Solvability of the \(\varPhi \)-Laplacian with nonlocal boundary conditions ⋮ Positive solutions of singular \(p\)-Laplacian BVPs with sign changing nonlinearity on time scales ⋮ Positive solution to a singular \(p\)-Laplacian BVP with sign-changing nonlinearity involving derivative on time scales ⋮ On existence of multiple positive solutions for \(\phi\)-Laplacian multipoint boundary value

Cites Work

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• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• A singular boundary value problem for the one-dimensional \(p\)-Laplacian
• Pairs of positive solutions for the one-dimensional p-Laplacian
• A generalized Emden-Fowler equation with a negative exponent
• On the structure of positive solutions for quasilinear ordinary differential equations
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
• Existence theorems for second order boundary value problems

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