Closed nonself-intersecting extremals of multivalued functionals
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Publication:1204752
zbMath0788.58015MaRDI QIDQ1204752
Publication date: 28 March 1993
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Regularity of solutions in optimal control (49N60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)
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On an integrable magnetic geodesic flow on the two-torus ⋮ Minimax periodic orbits of convex Lagrangian systems on complete Riemannian manifolds ⋮ On the periodic motions of a charged particle in an oscillating magnetic field on the two-torus ⋮ On the rigidity of Zoll magnetic systems on surfaces ⋮ Infinitely many noncontractible closed magnetic geodesics on non-compact manifolds ⋮ On the existence of closed magnetic geodesics via symplectic reduction ⋮ The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere ⋮ On Tonelli periodic orbits with low energy on surfaces ⋮ Infinitely many periodic orbits of exact magnetic flows on surfaces for almost every subcritical energy level ⋮ Bundles and geometric structures associated with gyroscopic systems ⋮ Infinitely many periodic orbits in non-exact oscillating magnetic fields on surfaces with genus at least two for almost every low energy level ⋮ Trace formula for the magnetic Laplacian ⋮ Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems ⋮ Waist theorems for Tonelli systems in higher dimensions
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