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On the existence of global variational principles. (English) Zbl 0454.58021

MSC:
58J99Partial differential equations on manifolds; differential operators
37J99Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
37-99Dynamic systems and ergodic theory (MSC2000)
49K20Optimal control problems with PDE (optimality conditions)
49S05Variational principles of physics
58E99Variational problems in infinite-dimensional spaces
58A20Jets (global analysis)