The local Burkholder functional, quasiconvexity and Geometric Function Theory

Kari Astala, Daniel Faraco, André Guerra +2

We show that the local Burkholder functional ${\mathcal{B}}_K$ is quasiconvex. In the limit of $p$ going to 2 we find a class of non-polyconvex functionals which are quasiconvex on th…