Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations

DOI10.2307/2000093zbMath0578.58005OpenAlexW4255022923MaRDI QIDQ3700462

Ivar Massabò, Jorge Ize, Jacobo Pejsachowicz, Alfonso Vignoli

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2000093

zbMATH Keywords

mapscovering dimensionCantor manifoldsessentialmultiparameter bifurcation problemsglobal branches of solutionsmultiparameter continuation problems

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dimension theory in general topology (54F45) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (8)

Steady bifurcating solutions of the Couette-Taylor problem for flow in a deformable cylinder ⋮ Obstruction Theory and Multiparameter Hopf Bifurcation ⋮ Connected sets in multiparameter bifurcation ⋮ On the number of branches of bifurcation points ⋮ \((0,k)\)-epi mappings. Applications to complementarity theory ⋮ Degree Theory for Equivariant Maps. I ⋮ On the Generalized Spectrum for Second-Order Elliptic Systems ⋮ Bifurcation invariants for acyclic mappings

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