Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings

DOI10.1006/jfan.1994.1096zbMath0802.47056OpenAlexW1991368824MaRDI QIDQ1331650

Patrick M. Fitzpatrick, Jacobo Pejsachowicz, Patrick J. Rabier

Publication date: 15 December 1994

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1994.1096

zbMATH Keywords

global bifurcation computable formula for the change in degree through an admissible homotopy degree theory for oriented Fredholm mappings of index zero between open subsets of Banach spaces and between Banach manifolds orientation of Fredholm mappings

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) (Semi-) Fredholm operators; index theories (47A53)

Related Items (25)

Existence of Pulses for Monotone Reaction-Diffusion Systems ⋮ Existence of solutions for a nonlocal reaction-diffusion equation in biomedical applications ⋮ Method of monotone solutions for reaction-diffusion equations ⋮ A global bifurcation theorem for critical values in Banach spaces ⋮ Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ An infinite dimensional version of the intermediate value theorem ⋮ Bifurcation structure to Serrin's overdetermined problem ⋮ Orientability through the algebraic multiplicity ⋮ Algebraic multiplicity and topological degree for Fredholm operators ⋮ Ascoli's theorem for functions vanishing at infinity and selected applications. ⋮ About the sign of oriented Fredholm operators between Banach spaces ⋮ Superlinear convolution equations in \(\mathbb R^{N}\) ⋮ A degree theory for locally compact perturbations of Fredholm maps in Banach spaces ⋮ A SOBOLEV SPACE APPROACH TO BOUNDARY VALUE PROBLEMS ON THE HALF-LINE ⋮ Degree of locally condensing perturbations of Fredholm maps with positive index and applications ⋮ On the product formula for the oriented degree for Fredholm maps of index zero between Banach manifolds ⋮ On the homotopy classification of proper Fredholm maps into a Hilbert space ⋮ ORIENTABILITY AND REAL SEIBERG–WITTEN INVARIANTS ⋮ Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions ⋮ Existence of reaction-diffusion waves in a model of immune response ⋮ A substitute for the Sard-Smale theorem in the \(C^1\) case ⋮ Degree theory for \(C^1\) Fredholm mappings of index 0 ⋮ Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier ⋮ On orientability and degree of Fredholm maps ⋮ A Degree Theory for Lagrangian Boundary Value Problems

This page was built for publication: Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings