Multiple positive solutions of singular eigenvalue type problems involving the one-dimensional \(p\)-Laplacian

DOI10.1016/j.jmaa.2003.12.005zbMath1057.34012OpenAlexW1994963725MaRDI QIDQ1827129

Justino Sánchez

Publication date: 6 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.12.005

zbMATH Keywords

multiplicityconepositive solutionfixed-point theoremfixed-point indexsingular problemsuperlinearitysublinearityone-dimensional \(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (19)

Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations ⋮ Global bifurcation phenomena for singular one-dimensional \(p\)-Laplacian ⋮ Global bifurcation results for general Laplacian problems ⋮ Positive solutions for singular boundary value problems involving integral conditions ⋮ Unnamed Item ⋮ Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight: \(p\)-superlinear at \(\infty \) ⋮ A coupled \(p\)-Laplacian elliptic system: existence, uniqueness and asymptotic behavior ⋮ Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions ⋮ Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems ⋮ Unilateral global bifurcation for \(p\)-Laplacian with singular weight ⋮ Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence ⋮ Deviating arguments, impulsive effects, and positive solutions for second order singular \(p\)-Laplacian equations ⋮ An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs ⋮ On the number of positive solutions for a four-point boundary value problem with generalized Laplacian ⋮ Existence of positive solutions for singular boundary value problems involving the one-dimensional \(p\)-Laplacian ⋮ Existence and multiplicity results for generalized Laplacian problems with a parameter ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)

Cites Work

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• On the existence of positive solutions for semilinear elliptic equations in the annulus
• Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Eigenvalue characterization for a class of boundary value problems
• MULTIPLE SOLUTIONS FOR A CLASS OF QUASILINEAR ELLIPTIC PROBLEMS
• Positive solutions of three-point nonlinear second order boundary value problem
• On a conjecture concerning the multiplicity of positive solutions of elliptic problems

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