“Lavrentiev Phenomenon and semicontinuous envelopment for integral functionals”
Wednesday 2 April 2025 h. 14:30 - Room 2BC30 - Tommaso Bertin (Padova, Dip. Mat.)
Abstract
The first part of the talk is devoted to introduce some basilar elements of the Direct Method of Calculus of variations. In particular we will see the Tonelli’s Theorem about the strictly relationship between lower semicontinuity of an integral functional and convexity of the Lagrangian. In the second part we will explore the so called “Lavrentiev Phenomenon”, i.e. the possibility for a functional to reach an infimum in a dense subset strictly greater than the infimum in the original set. We will see some classical examples and some recent results to avoid the Phenomenon. In particular we will focus on non convex and non continuous Lagrangian.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
