Symmetries, morse polynomials and applications to bifurcation problems

DOI10.1007/BF02107594zbMath0716.58007OpenAlexW13117527MaRDI QIDQ3203730

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Publication date: 1990

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02107594

zbMATH Keywords

periodic solutionscritical pointnonlinear eigenvalue problems

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (3)

A note on bifurcation theorems of Rabinowitz type ⋮ On bifurcation from infinity for S1-equivariant potential operators ⋮ Periodic solutions of vibrating strings. Degree theory approach

Cites Work

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• Bifurcation for odd potential operators and an alternative topological index
• Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme
• Nondegenerate critical manifolds
• Morse theory for symmetric functionals on the sphere and an application to a bifurcation problem
• Morse Theory. (AM-51)
• Solutions of asymptotically linear operator equations via morse theory
• Multiple solutions for indefinite functionals and applications to asymptotically linear problems
• Lectures on Morse theory, old and new
• A bifurcation theorem for potential operators

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