On the regularity of traces for Lipschitz strong local minimizers of integral functionals on star-shaped domains

Yury Grabovsky, Temple University

Event Date

2012-02-06

Event Time

02:30 pm ~ 03:20 pm

Event Location

Wachman 617

Abstract: We define the notion of regularity of traces of divergence-free fields. We then show that such regularity is a property of all strong local minimizers. Next we prove that the regularity of traces coupled with classical necessary conditions for strong local minima is suﬃcient for attainment of the minimum.