Duality by the Minimax theorem

15 Maio 2019, 17:00 • José Francisco da Silva Costa Rodrigues

General relation of saddle points with the equality relation of Max-Inf with Min-Sup of Lagrangians. Characterisation of saddle points for partially Gâteaux-differentiable Lagrangians under convexity assumptions and relation with variational inequalities. Sufficient conditions of saddle points in reflexive Banach spaces. Applications of saddle points method to duality. The case of equilibrium of an elastic body on a rigid base—comparison of the approach in Ekeland-Témam (pp. 218-221) and in Duvaut-Lions (pp. 121-123).