Morse complex, even functionals and asymptotically linear differential equations with resonance at infinity

DOI10.12775/TMNA.1998.045zbMath0942.58020OpenAlexW2586547722MaRDI QIDQ1305304

Efim Schwartzman, Zalman Balanov

Publication date: 21 August 2000

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.1998.045

zbMATH Keywords

Palais-Smale conditionHamiltonian systemsLjusternik-Schnirelman theoryvariational problemsMorse complexGalerkin-type approximation

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

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Multiple solutions to symmetric boundary value problems for second order ODEs: equivariant degree approach ⋮ Multiple solutions to implicit symmetric boundary value problems for second order ordinary differential equations (ODEs): Equivariant degree approach ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Symmetric Hopf bifurcation in implicit neutral functional differential equations: equivariant degree approach

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