Global bifurcation analysis and uniqueness for a semilinear problem

DOI10.1017/S0308210500018552zbMath0673.34031OpenAlexW2140624888MaRDI QIDQ3826899

Achilles Tertikas

Publication date: 1989

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500018552

zbMATH Keywords

bifurcation diagramrescaling techniqueglobal bifurcation diagram

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Ordinary differential operators (34L99)

Related Items (3)

Unbounded solution components for nonlinear Hill's equations ⋮ On the Solution Structure of Nonlinear Hill's Equation I, Global Results ⋮ On the Solution Structure of Nonlinear Hill's Equation II, Local Results

Cites Work

• Unnamed Item
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation
• Global bifurcation for Neumann problems without eigenvalues
• Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains
• Uniqueness of positive solutions of some semilinear Sturm–Liouville problems on the half line
• A global branch of solutions to a semilinear equation on an unbounded interval
• A priori bounds for positive solutions of nonlinear elliptic equations
• Does bifurcation from the essential spectrum occur?

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