Relaxation : are smooth functions still dense in Sobolev spaces under energy constraints?

Quand : 22 juin 2026 à 14:00

Où : Salle Pellos (1R2-207)

Organisé par : Institut Henri Poincaré

In this presentation, we introduce the notion of relaxation for integral functionals in the one-dimensional case of the form $\int_O^L f(x,u(x),u'(x)) dx$, as well as the concept of Lavrentiev gap between two function spaces. We review two categories of results established in this field and present a new result for Lagrangians satisfying regularity assumptions only with respect to the state variab