Algebraic multiplicity and topological degree for Fredholm operators

DOI10.1016/J.NA.2020.112019zbMath1501.47093OpenAlexW3036606785MaRDI QIDQ2202211

Juan Carlos Sampedro, Julián López-Gómez

Publication date: 17 September 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.112019

zbMATH Keywords

Leray-Schauder degreegeneralized algebraic multiplicitydegree of FitzpatrickFredholm pathsPejsachowicz and RabierSchauder formula

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (6)

Multiplicity of nodal solutions in classical non-degenerate logistic equations ⋮ Orientability through the algebraic multiplicity ⋮ Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations ⋮ Global perturbation of nonlinear eigenvalues ⋮ New analytical and geometrical aspects of the algebraic multiplicity ⋮ Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier

Cites Work

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• Algebraic multiplicity of eigenvalues of linear operators
• Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
• Optimal multiplicity in local bifurcation theory. II: General case
• Multiplicity, Leray-Schauder formula, and bifurcation
• Orientability of Fredholm families and topological degree for orientable nonlinear Fredholm mappings
• The homotopy type of the unitary group of Hilbert space
• Some global results for nonlinear eigenvalue problems
• On the uniqueness of the topological degree
• Global bifurcation for Fredholm operators
• Parity and Generalized Multiplicity
• Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems
• A Generalization of Multiplicity and the Problem of Bifurcation
• Coincidence Index and Multiplicity
• Bifurcation theory for Fredholm operators
• Generalized Jordan chains and two bifurcation theorems of Krasnoselskii
• ON THE UNIQUENESS OF THE ALGEBRAIC MULTIPLICITY
• An Infinite Dimensional Version of Sard's Theorem
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• Hausdorff Conullity of Critical Images of Fredholm Maps
• Counting Zeros of C ¹ Fredholm Maps of Index 1
• The measure of the critical values of differentiable maps
• On the concept of orientability for Fredholm maps between real Banach manifolds

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