Polyconvexity

This lecture covers the concept of polyconvexity in the context of vectorial calculus, focusing on open bounded sets with Lipschitz boundaries. The instructor explains the conditions for polyconvexity and provides examples and exercises to illustrate the concept. The lecture also delves into weak continuity theorems related to determinants and Morrey-Reshetnyak results. The content progresses to discuss the minimization of sequences in function spaces and the weak lower semicontinuity of certain functions, emphasizing the application of these concepts in the context of convexity assumptions.