Weak lower semicontinuity of polyconvex integrals in case of low Sobolev regularity

30.10.2024 15:00 - 15:45

Anastasia Molchanova (TU Wien)

Abstract: In this talk, we discuss a lower semicontinuity result for polyconvex functionals along sequences of maps ƒm : Ω ⊂ nn bounded in W1,n−1. We assume that ƒm are Sobolev homeomorphisms with positive Jacobians det m > 0 a.e., satisfy the Lusin (N) condition, have a prescribed Dirichlet boundary data, and supm(|Dƒm|n + A(|cofm|) + φ(det m)) < ∞ where A and φ are positive convex functions with certain growth behavior. We also consider some examples when lower semicontinuity fails under weaker conditions.

Organiser:

R. I. Boţ

Location:

HS 2, EG, OMP 1