Mon, 04 May 2026

16:30 - 17:30
L4

Convexity notions for the Calculus of variations in higher dimensions and fine properties of integrands

Bernd Kirchheim
(Leipzig University)
Abstract

Recently a new inhabitant entered the zoo of convexity notions for vectorial variational problems: functional convexity. I would like to report of progress in understanding the corresponding integrands, but also new insight into fine properties of most general class of related integrands: It turns out that rank-one convex functions share surprisingly many pointwise differentiablity properties with ordinary convex functions.

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