The structure of Rabinowitz' global bifurcating continua for problems with weak nonlinearities

DOI10.1112/S0025579300012717zbMath0902.35013OpenAlexW2145265165MaRDI QIDQ4384741

Bryan P. Rynne, Rehana Bari

Publication date: 10 December 1998

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300012717

zbMATH Keywords

simple eigenvaluesdifferentiability conditionslocation of the continua

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Bifurcations in context of PDEs (35B32)

Related Items (1)

Bifurcation from infinity in nonlinear sturm liouville problems with different linearizations at ‘u = ±∞’

Cites Work

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• Smoothness of global positive branches of nonlinear elliptic problems over symmetric domains
• On eigenvalue problems for nondifferentiable mappings
• Preservation of nodal structure on global bifurcation solution branches of elliptic equations with symmetry
• Uniqueness of global positive solution branches of nonlinear elliptic problems
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Bifurcation from higher eigenvalues in nonlinear elliptic equations: Continua that meet infinity
• Generic Properties of Eigenfunctions
• A NOTE ON BIFURCATION FROM INFINITY

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