Periodic solutions of Lagrangian systems on manifolds with boundary

DOI10.1016/0362-546X(91)90029-ZzbMath0721.58039OpenAlexW2008330236MaRDI QIDQ5753254

Annamaria Canino

Publication date: 1991

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90029-z

zbMATH Keywords

periodic solutionsmanifolds with boundaryLagrangian systemsLyusternik-Schirelmann category

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Ordinary differential equations and systems on manifolds (34C40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Periodic solutions of Lagrangian systems with Lipschitz obstacle ⋮ Periodic solutions of quadratic lagrangian systems on $p$-convex sets ⋮ A multiplicity result for orthogonal geodesic chords in Finsler disks ⋮ A multiplicity result for Euler-Lagrange orbits satisfying the conormal boundary conditions

Cites Work

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• Existence of a closed geodesic on p-convex sets
• Existence and multiplicity of geodesics with constraints and varying end points
• Periodic solutions of Lagrangian systems on a compact manifold
• On p-convex sets and geodesics
• Homologie singulière des espaces fibrés. Applications
• Multiplicity of eigenvalues for the Laplace operator with respect to an obstacle, and nontangency conditions
• Evolution equations with lack of convexity
• A Note on the Category of the Free Loop Space

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