A degree theory for locally compact perturbations of Fredholm maps in Banach spaces

DOI10.1155/AAA/2006/64764zbMath1090.47049OpenAlexW1999387322MaRDI QIDQ2491409

Massimo Furi, Pierluigi Benevieri

Publication date: 29 May 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52443

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Perturbations of nonlinear operators (47H14)

Related Items (10)

Merging of degree and index theory ⋮ A global bifurcation theorem for critical values in Banach spaces ⋮ Oriented degree of Fredholm maps: finite-dimensional reduction method ⋮ Bifurcation results for a class of perturbed Fredholm maps ⋮ Global bifurcation results for nonlinear dynamic equations on time scales ⋮ A degree theory for a class of perturbed Fredholm maps. II ⋮ Atypical bifurcation without compactness ⋮ Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A-Proper Maps with Applications ⋮ Eigenvalue problems for Fredholm operators with set-valued perturbations ⋮ A Degree Theory for Lagrangian Boundary Value Problems

Cites Work

• Atypical bifurcation without compactness
• Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
• The homotopy type of the unitary group of Hilbert space
• Differential Topology
• Topologie et équations fonctionnelles
• On the concept of orientability for Fredholm maps between real Banach manifolds
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