Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems

DOI10.1007/s005260000046zbMath0981.58009OpenAlexW2014036447MaRDI QIDQ1840714

Publication date: 21 March 2002

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260000046

zbMATH Keywords

Hamiltonian systems critical point theory Morse index linking theorem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems ⋮ Morse homology on Hilbert spaces ⋮ Nontrivial solutions of Schrödinger equations with indefinite nonlinearities ⋮ Maslov index for homoclinic orbits of Hamiltonian systems ⋮ Nonnegative solutions for nonlinear elliptic systems ⋮ Relative Morse index and multiple homoclinic orbits for a nonperiodic Hamiltonian system ⋮ Concentration results for a singularly perturbed elliptic system with variable coefficients ⋮ Relative Morse index and multiple solutions for a non-periodic Dirac equation with external fields ⋮ Hamiltonian elliptic systems: a guide to variational frameworks ⋮ Spike-layered solutions for an elliptic system with Neumann boundary conditions ⋮ Minimal period estimates on \(P\)-symmetric periodic solutions of first-order mild superquadratic Hamiltonian systems ⋮ Stability Criteria for Reaction-Diffusion Systems with Skew-Gradient Structure ⋮ On the Morse index of Lagrangian systems.

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