Optimal multiplicity in local bifurcation theory. II: General case

DOI10.1016/0022-0396(88)90136-2zbMath0668.47043OpenAlexW2037454186MaRDI QIDQ1118147

J. Esquinas

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90136-2

zbMATH Keywords

multiplicity

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (9)

Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Generating loops and isolas in semilinear elliptic BVP's ⋮ Orientability through the algebraic multiplicity ⋮ Algebraic multiplicity and topological degree for Fredholm operators ⋮ Bounded components of positive solutions of abstract fixed point equations: Mushrooms, loops and isolas ⋮ Global perturbation of nonlinear eigenvalues ⋮ New analytical and geometrical aspects of the algebraic multiplicity ⋮ Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier ⋮ Generalized Jordan chains and two bifurcation theorems of Krasnoselskii

Cites Work

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• Optimal multiplicity in local bifurcation theory. I: Generalized generic eigenvalues
• Degenerate bifurcation at simple eigenvalues and stability of bifurcating solutions
• Multiple eigenvalue bifurcation for Fredholm operators.
• A Generalization of Multiplicity and the Problem of Bifurcation
• Bifurcation theory for Fredholm operators

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