Nonconvex variational problems in duality (the shell equation; gyroscopic system). (Problème variationnels non convexes en dualité. (Équation des coques; systèmes gyroscopiques).) (French) Zbl 0900.49027

Truc, Françoise

Séminaire de théorie spectrale et géométrie. Année 1987-1988. Chambéry: Univ. de Savoie, Fac. des Sciences, Service de Math. Sémin. Théor. Spectrale Géom., Chambéry-Grenoble. 6, 91-107 (1988).

For the entire collection see [Zbl 0825.00041].

MSC:

49N15	Duality theory (optimization)
70G45	Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
74K15	Membranes
49J20	Existence theories for optimal control problems involving partial differential equations

Keywords:

duality; Hamilton equation; critical point; nonlinear oscillations