Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)

DOI10.1016/J.NA.2008.11.056zbMath1183.34019OpenAlexW2051610973MaRDI QIDQ1026085

J. Blot

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.11.056

zbMATH Keywords

bifurcationpositive solutionsign-changing solution\(p\)-Laplace equationLeray-Schauder degreesingular weight

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (9)

A fixed point operator for systems of vector \(p\)-Laplacian with singular weights ⋮ A new existence result for the boundary value problem of \(p\)-Laplacian equations with sign-changing weights ⋮ Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight: \(p\)-superlinear at \(\infty \) ⋮ Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ Unilateral global bifurcation for \(p\)-Laplacian with singular weight ⋮ Qualitative Properties and Existence of Sign Changing Solutions with Compact Support for an Equation with a p-Laplace Operator ⋮ Nonresonance for a one-dimensional \(p\)-Laplacian with strong singularity ⋮ 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

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