13 mar 2013 -- 18:00 [open in google calendar]
Sala Seminari, Department of Mathematics, Pisa University
Vectorial problems in the Calculus of Variations are naturally related to generalized notions of convexity - which for instance characterize weak lower semicontinuity locally or globally. In the past, mainly the differences between these notions were investigated. Here we present a result which shows that for one-homogeneus functions all these possible convexity notions agree in the best possible way.
This result, obtained jointly with Jan Kristensen, also allows to put Ornstein's famous L-one non-inequality as well as similar constructions by Conti, Faraco, Maggi and Mueller into a unifying frame and to generalize them.