A four-point boundary value problem with singular \(\phi \)-Laplacian

DOI10.1007/S11784-019-0703-1zbMath1418.34049OpenAlexW2944652421MaRDI QIDQ2003717

Antonia Chinnì, Beatrice Di Bella, Petru Jebelean, Radu Precup

Publication date: 9 July 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-019-0703-1

zbMATH Keywords

positive solutionsSchauder's fixed point theoremKrasnoselskii's fixed point theoremfour-point boundary value problemssingular \(\phi \)-Laplace equations

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) 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 (6)

Existence results for first derivative dependent \(\varphi \)-Laplacian boundary value problems ⋮ Harnack type inequalities and multiple solutions in cones of nonlinear problems ⋮ Compression-expansion fixed point theorems for decomposable maps and applications to discontinuous \(\phi\)-Laplacian problems ⋮ Region of existence of multiple solutions for a class of Robin type four-point BVPs ⋮ On the number of positive solutions for a four-point boundary value problem with generalized Laplacian ⋮ A four-point \(\phi\)-Laplacian BVPs with first-order derivative dependence

Cites Work

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• Existence, localization and multiplicity of positive solutions to \(\phi\)-Laplace equations and systems
• Periodic solutions of pendulum-like perturbations of singular and bounded \({\varphi}\)-Laplacians
• Periodic solutions of the forced relativistic pendulum
• Solvability of fractional three-point boundary value problems with nonlinear growth
• Positive solutions for some second-order four-point boundary value problems
• Upper and lower solutions and topological degree
• Positive solutions of \(m\)-point boundary value problems
• Positive solutions for discontinuous problems with applications to \(\phi \)-Laplacian equations
• Existence and multiplicity of solutions for four-point boundary value problems at resonance
• Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems
• Positive solutions to fractional boundary-value problems with \(p\)-Laplacian on time scales
• Multiplicity for fractional differential equations with \(p\)-Laplacian
• Boundary value problems for discontinuous perturbations of singular \(\phi\)-Laplacian operator
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator
• On the existence of nontrivial solutions of differential equations subject to linear constraints
• Multiplicity of Positive Solutions for Second Order Nonlinear Dirichlet Problem with One-dimension Minkowski-Curvature Operator
• Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces
• Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation
• Symmetric positive solutions to a singular ϕ‐Laplace equation

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