Local bifurcation theory for multiparameter nonlinear eigenvalue problems

DOI10.1016/S0362-546X(00)00207-8zbMath1043.47043OpenAlexW2067109023MaRDI QIDQ1348778

Rehana Bari

Publication date: 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00207-8

zbMATH Keywords

bifurcationnonlinear eigenvalue problemmultiparameter operator

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (4)

The structure of positive solutions for a Schrödinger system ⋮ Bifurcation from double eigenvalue for nonlinear equation with third-order nondegenerate singularity ⋮ Two global several-parameter bifurcation theorems and their applications ⋮ Bifurcation criterion of faults in complex nonlinear systems

Cites Work

• Multiparameter local bifurcation based on the linear part
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• Manifolds, tensor analysis, and applications.
• Bifurcation from simple eigenvalues
• Simple eigenvalues and bifurcation for a multiparameter problem
• Bifurcation from simple eigenvalues for several parameter families
• Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems
• Unnamed Item

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