A Local Bifurcation Theorem for C 1 -Fredholm Maps

DOI10.2307/2048129zbMath0732.47013OpenAlexW4255115967MaRDI QIDQ3357727

Jacobo Pejsachowicz, Patrick M. Fitzpatrick

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048129

zbMATH Keywords

bifurcation pointparityKrasnosel'skij local bifurcation theoremone- parameter families of \(C^ 1\)-Fredholm maps

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) (Semi-) Fredholm operators; index theories (47A53) Spectral theory; eigenvalue problems on manifolds (58C40) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (6)

A global bifurcation theorem for critical values in Banach spaces ⋮ Answer to some open problems and global bifurcation for an overdetermined problem ⋮ On solvability of some systems of Fredholm integro-differential equations with mixed diffusion in a square ⋮ Parity as Z2‐valued spectral flow ⋮ Spectral flow and bifurcation of critical points of strongly-indefinite functionals. I: General theory ⋮ Bifurcation at isolated singular points for a degenerate elliptic eigenvalue problem

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