Necessary and sufficient conditions for existence of minimizers for vector problems in the Calculus of Variations
14/11/2018 Wednesday 14th November 2018, 15:00 (Room P3.10, Mathematics Building)
Luís Bandeira, Universidade de Évora
We report our work about the main necessary and sufficient conditions for weak lower semi-continuity of integral functionals in vector Calculus of Variations.
In particular we provide tools to investigate rank-one convexity of functions defined on $2\times 2$-matrices. Furthermore, we explore some consequences and examples.
We also explore the quasiconvexity condition in the case where the integrand of an integral functional is a fourth-degree homogeneous polynomial.