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Presented By: Special Events - Department of Mathematics

Ziwet Lecture I | Morrey's theory and direct methods of the calculus of variations

Wilfrid Gangbo (UCLA)

Wilfrid Gangbo, UCLA Wilfrid Gangbo, UCLA
Wilfrid Gangbo, UCLA
In the middle of the last century, Charles Morrey introduced the notions of poly-convexity, rank-one-convexity and quasi-convexity functions, to study variational problems. While the first two notions are local conditions, the third one which turned out to be the most important one, is a non local and poorly understood notion. In this talk we comment on Morrey's conjecture and Iwaniec's conjecture on the Beurling-Ahlfors Transform.

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