A global bifurcation phenomenon for second order singular boundary value problems

DOI10.1016/j.jmaa.2004.10.054zbMath1091.34013OpenAlexW2058823781MaRDI QIDQ557851

Jianyong Qiao, Sumit K. Garg

Publication date: 30 June 2005

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.2004.10.054

zbMATH Keywords

global bifurcationsingular nonlinear boundary value problemspositive solutions of nonlinear boundary value problems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (12)

Global bifurcation phenomena for singular one-dimensional \(p\)-Laplacian ⋮ Unilateral global interval bifurcation for problem with mean curvature operator in Minkowski space and its applications ⋮ Nodal solutions for problems with mean curvature operator in Minkowski space with nonlinearity jumping only at the origin ⋮ EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR p-LAPLACIAN PROBLEMS WITH A GENERAL INDEFINITE WEIGHT ⋮ Bifurcation and nodal solutions for the half-linear problems with nonasymptotic nonlinearity at \(0\) and \(\infty\) ⋮ Unilateral global bifurcation phenomena and nodal solutions for \(p\)-Laplacian ⋮ Unilateral global bifurcation for \(p\)-Laplacian with non-\(p\)-1-linearization nonlinearity ⋮ Existence and multiplicity results for nonlinear boundary value problems ⋮ Two Whyburn type topological theorems and its applications to Monge-Ampère equations ⋮ Solutions and Green's functions for some linear second-order three-point boundary value problems ⋮ Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain ⋮ Existence of positive solutions for singular boundary value problems involving the one-dimensional \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple positive solutions of nonlinear two-point boundary value problems
• A singular boundary value problem arising from near-ignition analysis of flame structure
• Positive solutions of singular sublinear Emden-Fowler boundary value problems
• Non-resonance and eigenvalues of nonlinear singular boundary value problems
• Positive solutions to nonlinear singular boundary value problems
• A note on singular nonlinear boundary value problems
• Positive solutions for nonlinear singular boundary value problems
• On nonresonant singular two-point boundary value problems.
• Some aspects of nonlinear eigenvalue problems
• Existence of positive solutions of singular boundary value problems
• Positive solutions of singular boundary value problems
• Existence of multiple positive solutions of singular boundary value problems
• Eigenvalues of singular boundary value problems and existence results for positive radial solutions of semilinear elliptic problems in exterior domains
• On the existence of positive solutions for a class of singular boundary value problems
• Positive solutions for singular nonlinear boundary value problems

This page was built for publication: A global bifurcation phenomenon for second order singular boundary value problems