Atypical bifurcation without compactness

DOI10.4171/ZAA/1233zbMath1084.47053OpenAlexW2086954067MaRDI QIDQ558471

Maria Patrizia Pera, Pierluigi Benevieri, Massimo Furi, Mario Martelli

Publication date: 6 July 2005

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1233

zbMATH Keywords

topological degreeglobal bifurcationsoriented Fredholm maps

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (2)

Global bifurcation results for nonlinear dynamic equations on time scales ⋮ A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

Cites Work

• A continuation principle for periodic solutions of forced motion equations on manifolds and applications to bifurcation theory
• Co-bifurcating branches of solutions for nonlinear eigenvalue problems in Banach spaces
• A degree theory for locally compact perturbations of Fredholm maps in Banach spaces
• Large oscillations of forced nonlinear differential equations
• An Infinite Dimensional Version of Sard's Theorem
• On the concept of orientability for Fredholm maps between real Banach manifolds
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