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A-quasiconvexity and regularity

Speaker(s)
Franz Gmeineder
Affiliation
University of Bonn
Date
Nov. 23, 2020, 2 p.m.
Information about the event
Zoom
Seminar
Monday's Nonstandard Seminar joint with Seminar of Section of Differential Equations

By Morrey’s foundational work, quasiconvexity displays a key notion in the vectorial Calculus of Variations. A suitable generalisation that keeps track of more elaborate differential conditions is given by Fonseca & Muller’s A-quasiconvexity. With the topic having faced numerous contributions as to lower semicontinuity, in this talk I give an overview of recent results for such problems with focus on the underlying function spaces and (partial) regularity. The talk is partially based on joint work with Sergio Conti (Bonn) and an ongoing project with Jan Kristensen (Oxford).