Global higher bifurcations in coupled systems of nonlinear eigenvalue problems

DOI10.1017/S0308210500018242zbMath0633.58012MaRDI QIDQ3771275

Robert Stephen Cantrell

Publication date: 1987

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

zbMATH Keywords

equations on Banach algebrasmultivariate bifurcation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Parameter ranges for the existence of solutions whose state components have specified nodal structure in coupled multiparameter systems of nonlinear Sturm–Liouville boundary value problems ⋮ On bifurcation and existence of positive solutions for a certain \(p\)- Laplacian system ⋮ Global Preservation of Nodal Structure in Coupled Systems of Nonlinear Sturm-Liouville Boundary Value Problems ⋮ On solutions to coupled multiparameter nonlinear Sturm-Liouville boundary value problems whose state components have a specified nodal structure ⋮ Bifurcation from semitrivial solution bundles and applications to certain equation systems ⋮ Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems

Cites Work

• On positive solutions of some pairs of differential equations. II
• Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion