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)
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Luís Bandeira, Universidade de Évora
We report our work about the main necessary and sufficient conditions for weak lower semicontinuity of integral functionals in vector Calculus of Variations. In particular we provide tools to investigate rankone 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 fourthdegree homogeneous polynomial.
