A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces
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Publication:1382802
DOI10.12775/TMNA.1997.017zbMath0906.58007OpenAlexW2578736445MaRDI QIDQ1382802
Publication date: 30 September 1998
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.1997.017
strongly indefinite functionalsinfinite-dimensional Morse theoryinfinite-dimensional cohomology theory
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)
Related Items (16)
Morse homology on Hilbert spaces ⋮ Maslov index for homoclinic orbits of Hamiltonian systems ⋮ Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems ⋮ Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces ⋮ Morse-Floer theory for superquadratic Dirac equations. I: Relative Morse indices and compactness ⋮ The existence of periodic solutions of delay differential equations by \(E^+\)-Conley index theory ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces ⋮ Morse cohomology in a Hilbert space via the Conley index ⋮ On a formula for the spectral flow and its applications ⋮ Existence results for solutions to nonlinear Dirac systems on compact spin manifolds ⋮ Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems ⋮ Hamiltonian elliptic systems: a guide to variational frameworks ⋮ Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems ⋮ The \(E\)-cohomological Conley index, cup-lengths and the Arnold conjecture on \(T^{2n}\) ⋮ On the Morse index of Lagrangian systems.
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