A quadratic Bolza-type problem in a Riemannian manifold.

DOI10.1016/S0022-0396(03)00064-0zbMath1232.49023MaRDI QIDQ1406509

Miguel Sánchez, José Luis Flores, Anna Maria Candela

Publication date: 4 September 2003

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

zbMATH Keywords

variational principleRiemannian manifoldsLjusternik-Schnirelman theory

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear boundary value problems for ordinary differential equations (34B15) Variational methods for problems in mechanics (70G75) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Ordinary differential equations and systems on manifolds (34C40)

Related Items (8)

On general plane fronted waves. Geodesics ⋮ Orthogonal trajectories on Riemannian manifolds and applications to plane wave type spacetimes ⋮ Timelike trajectories with fixed energy under a potential in static spacetimes ⋮ Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes ⋮ Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential ⋮ Geodesic connectedness of stationary spacetimes with optimal growth ⋮ Normal geodesics in static spacetimes with critical asymptotic behavior ⋮ On the geometry of static spacetimes

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