The fixed energy problem for a class of nonconvex singular Hamiltonian systems

DOI10.1016/j.jde.2006.01.021zbMath1104.37039OpenAlexW2094160272MaRDI QIDQ855394

Kazunaga Tanaka, Carlo Carminati, Éric Séré

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.01.021

zbMATH Keywords

cotangent bundlevariational methodscritical point theoryHamiltonian systemclosed characteristicsingular potentialWeinstein conjecturehypersurface of contact typestrong force

Mathematics Subject Classification ID

Related Items (10)

Nonconstant periodic solutions with any fixed energy for singular Hamiltonian systems ⋮ Periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Global continua of periodic solutions of singular first-order Hamiltonian systems of \(N\)-vortex type ⋮ Periodic solutions of the \(N\)-vortex Hamiltonian system in planar domains ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ New periodic solutions for a class of singular Hamiltonian systems ⋮ Mountain pass lemma and new periodic solutions of the singular second order Hamiltonian system ⋮ New periodic solutions for the singular Hamiltonian system ⋮ Generalized solutions of first-order singular Hamiltonian systems with fixed energy ⋮ New periodic solutions of singular Hamiltonian systems with fixed energies

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