Sumários
Two kinds of problems solved with Convex Analysis
22 Maio 2019, 15:30 • José Francisco da Silva Costa Rodrigues
Application of duality in two variational problems solvable with convex analysis tools; relations and explicit forms of the primal and dual problems:
Duality by the Minimax theorem
16 Maio 2019, 14:30 • José Francisco da Silva Costa Rodrigues
General relation of saddle points with the equity relation of MaxInf with Min Sup of Lagrangians. Characterisation of saddle points for partially Gâteaux-differential 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-Téman (pp. 218-221) Nad in Duvaut-Lions (pp. 121-123).
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).
Duality by the Minimax theorem
15 Maio 2019, 15:30 • José Francisco da Silva Costa Rodrigues
General relation of saddle points with the equity relation of MaxInf with Min Sup of Lagrangians. Characterisation of saddle points for partially Gâteaux-differential 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-Téman (pp. 218-221) Nad in Duvaut-Lions (pp. 121-123).
9 Maio 2019, 14:30 • José Francisco da Silva Costa Rodrigues
Lagrangian and Saddle Points —relations with the primal and with the dual problems in the case of stable and normal assumptions; the case of reflexive Banach spaces.