Equivariant Conley index in Hilbert spaces and applications to strongly indefinite problems

DOI10.1016/S0362-546X(01)00811-2zbMath1035.37009MaRDI QIDQ697518

Marek Izydorek

Publication date: 17 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceLie groupsHamiltonian systemsConley indexMorse decompositionCohomology groupsEquivariant maps

Mathematics Subject Classification ID

Related Items (12)

Multiplicity of periodic solutions to symmetric delay differential equations ⋮ Bifurcations of nonconstant solutions of the Ginzburg-Landau equation ⋮ Periodic solutions of symmetric Hamiltonian systems ⋮ Equivariant Morse equation ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Bifurcations from the orbit of solutions of the Neumann problem ⋮ Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ Symmetric Liapunov center theorem ⋮ Symmetry breaking of solutions of non-cooperative elliptic systems ⋮ Equivariant bifurcation index

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