Global bifurcation for Neumann problems without eigenvalues

DOI10.1016/0022-0396(82)90026-2zbMath0455.34015OpenAlexW2074797074MaRDI QIDQ1150080

John F. Toland

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90026-2

zbMATH Keywords

nonlinear Sturm-Liouville problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential operators (34L99)

Related Items (10)

A global branch of solutions to a semilinear equation on an unbounded interval ⋮ The existence of infinitely many solutions all bifurcating from λ = 0 ⋮ Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation ⋮ On the asymptotic properties of solutions to a differential equation in a case of bifurcation without eigenvalues ⋮ Unbounded solution components for nonlinear Hill's equations ⋮ Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line ⋮ Global bifurcation analysis and uniqueness for a semilinear problem ⋮ Unnamed Item ⋮ Uniqueness of positive solutions of some semilinear Sturm–Liouville problems on the half line ⋮ Characterisation of bifurcation from the continuous spectrum by nodal properties

Cites Work

• Bifurcation when the linearized problem has no eigenvalues
• Bifurcation for variational problems when the linearisation has no eigenvalues
• Bifurcation for Neumann problems without eigenvalues
• On solitary water-waves of finite amplitude
• Some global results for nonlinear eigenvalue problems
• Solitary wave solutions for a model of the two-way propagation of water waves in a channel
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