FALL 2020 Nonlinear Analysis Seminar Series

Dr. Franz Gmeineder, University of Bonn

Title: \(\mathscr{A}\)-quasiconvexity and partial regularity　

Abstract:

Many problems from elasticity or fluid mechanics can be stated as \(\mathscr{A}\)-quasiconvex variational problems, a generalised variant of the usual notion of quasiconvexity due to Morrey. In this talk we give an overview of recent results on the (partial) regularity theory for such problems. As a main feature, we outline some novel links between harmonic analysis and the calculus of variations - comprising weighted singular integral estimates, coerciveness and regularity for variational integrals.　

This talk comprises joint work with Sergio Conti.

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