Multiplicity, Leray-Schauder formula, and bifurcation

DOI10.1016/0022-0396(77)90001-8zbMath0366.47029OpenAlexW1991924525MaRDI QIDQ1241891

B. Laloux, Jean Mawhin

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90001-8

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53)

Related Items (8)

Asymptotic bifurcation results for coupled nonlinear wave equations with variable coefficients ⋮ Algebraic multiplicity and topological degree for Fredholm operators ⋮ On the Leray-Schauder formula and bifurcation ⋮ Bifurcation theorems of Rabinowitz type ⋮ Krasnosel'skii type formula and translation along trajectories method on the scale of fractional spaces ⋮ Multiplicity and bifurcation of periodic solutions in ordinary differential equations ⋮ Axiomatization of the degree of Fitzpatrick, Pejsachowicz and Rabier ⋮ On the bifurcation of large amplitude solutions for a system of wave and beam equations

Cites Work

• A global result applicable to non-linear Steklov problems
• Some existence theorems for non-linear eigenvalue problems associated with elliptic equations
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Nonlinear Steklov problems on nonsymmetric domains
• Coincidence Index and Multiplicity
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