Seminario di Analisi Matematica - Non occurrence of the Lavrentiev gap for multidimensional autonomous problems
Relatore: Pierre Bousquet (Université Paul Sabatier Toulouse III)
Dettagli dell'evento
Quando
01/03/2022
dalle 14:30 alle 16:00
dalle 14:30 alle 16:00
Dove
Aula B1 (Palazzo Manfredini)
Persona di riferimento
NON OCCURRENCE OF THE LAVRENTIEV GAP FOR
MULTIDIMENSIONAL AUTONOMOUS PROBLEMS
PIERRE BOUSQUET
We establish that the Lavrentiev phenomenon does not occur for autonomous
problems in the multiple integrals Calculus of Variations, provided that the inte-
grand is convex with respect to the gradient variable. The main novelty is that
no other (artificial) restriction is assumed on the integrand or on the domain. The
core of the proof is based on a new approximation result for a parametric version
of the variational problem.
