\(S\)-shaped bifurcation curve for a nonlocal boundary value problem

DOI10.1016/j.jmaa.2016.12.073zbMath1361.34018OpenAlexW2571397744MaRDI QIDQ511212

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 February 2017

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.2016.12.073

zbMATH Keywords

implicit function theoremnonlocal boundary value problemsCrandall-Rabinowitz bifurcation theorem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

Three positive solutions of fourth-order problems with clamped beam boundary conditions ⋮ \(S\)-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact multiplicity of positive solutions for concave-convex and convex-concave nonlinearities
• On the structure of solutions of an equation in catalysis theory when a parameter is large
• Exact multiplicity of solutions and \(S\)-shaped bifurcation curve for a class of semilinear elliptic equations
• Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity
• Exact number of pseudo-symmetric positive solutions for a \(p\)-Laplacian three-point boundary value problems and their applications
• Exact multiplicity of positive solutions for a class of semilinear problem. II
• Persistence and bifurcation of degenerate solutions
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Imperfect transcritical and pitchfork bifurcations
• Nodal solutions for \(m\)-point boundary value problems using bifurcation methods
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues
• Exact Multiplicity and S-Shaped Bifurcation Curve for some Semilinear Elliptic Problems from Combustion Theory
• On the exactness of an S-shaped bifurcation curve
• On s-shaped bifurcation curves
• Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
• Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity
• Proof of a conjecture for the perturbed Gelfand equation from combustion theory

This page was built for publication: \(S\)-shaped bifurcation curve for a nonlocal boundary value problem