A new Morse index theory for strongly indefinite functionals

DOI10.1016/j.na.2004.03.001zbMath1061.58010OpenAlexW2055389729MaRDI QIDQ1879686

Yuxia Guo, Pingan Zeng, Jia Quan Liu

Publication date: 23 September 2004

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.2004.03.001

zbMATH Keywords

critical groupsMorse theorystrongly indefinite functionals

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

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Periodic solutions for an asymptotically linear wave equation with resonance ⋮ Existence of multiple periodic solutions to asymptotically linear wave equations in a ball ⋮ A new index theory for linear self-adjoint operator equations and its applications ⋮ Computations of critical groups and applications to asymptotically linear wave equation and beam equation ⋮ Existence of multiple periodic solutions for a semilinear wave equation in an \(n\)-dimensional ball

Cites Work

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• Critical point theory and Hamiltonian systems
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• Computations of critical groups and applications to asymptotically linear wave equation and beam equation
• A strong resonance problem
• Nontrivial solutions for resonant noncooperative elliptic systems
• An infinite dimensional Morse theory with applications
• Nontrivial periodic solutions for asymptotically linear Hamiltonian systems with resonance
• Morse theory for strongly indefinite functional

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