A cohomological Conley index in Hilbert spaces and applications to strongly indefinite problems
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Publication:5929874
DOI10.1006/jdeq.2000.3818zbMath0973.37008OpenAlexW2012500813MaRDI QIDQ5929874
Publication date: 23 November 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/a5dcca6902efdc1d989f3018c9734f8783039c43
Morse inequalitiesConley indexperiodic solutions of Hamiltonian systemsstrongly indefinite functionals
Related Items (17)
Continuous selection of the solution map for one-sided Lipschitz differential inclusions ⋮ Multiplicity of periodic solutions to symmetric delay differential equations ⋮ Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces ⋮ Morse homology for asymptotically linear Dirac equations on compact manifolds ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ The Arnold conjecture in \(\mathbb{CP}^n\) and the Conley index ⋮ Conley type index applied to Hamiltonian inclusions ⋮ Unnamed Item ⋮ On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces ⋮ The cohomological span of \(\mathcal{LS}\)-Conley index ⋮ Morse cohomology in a Hilbert space via the Conley index ⋮ Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems ⋮ Symmetry breaking of solutions of non-cooperative elliptic systems ⋮ Homotopy index for multivalued flows on sleek sets ⋮ Equivariant bifurcation index ⋮ The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems ⋮ Morse–Conley–Floer homology
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