Morse theory for strongly indefinite functional

DOI10.1016/S0362-546X(00)00218-2zbMath1013.37023OpenAlexW1985308052MaRDI QIDQ5960856

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Publication date: 3 September 2002

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/s0362-546x(00)00218-2

zbMATH Keywords

Morse inequalitiescritical groupsMorse theoryGalerkin approachindefinite functional

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Approximation methods and numerical treatment of dynamical systems (37M99) Morse-Smale systems (37D15)

Related Items

A new Morse index theory for strongly indefinite functionals ⋮ Computations of critical groups and applications to asymptotically linear wave equation and beam equation ⋮ Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system

Cites Work

• On the number of periodic trajectories for a Hamiltonian flow on a convex energy surface
• Critical point theorems for indefinite functionals
• Critical point theory and Hamiltonian systems
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Infinite dimensional Morse theory and multiple solution problems
• Cohomology and Morse theory for strongly indefinite functionals
• Solutions of asymptotically linear operator equations via morse theory
• Periodic solutions of hamiltonian systems
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