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.
The important special cases of primal and dual problems in ordered spaces under inequality constraints: the general abstract case; the specific form of the Lagrangian; the Kuhn-Tucker conditions in R^N; the case of variational inequalities.
The bridal problem and generalised solutions.
Applied topics to be developed:
— non-differential functionals of the gradient— Bingham flow (special steady case) and the least-plastic torsion problem;
— non-differential functional in a nonlocal case — a problem in filtering theory;
— a non reflexive case— non-parametric minimal surfaces.
The course took place from 16:15—19:00, the 9 May.