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math.AP2023
The local Burkholder functional, quasiconvexity and Geometric Function Theory
Kari Astala, Daniel Faraco, André Guerra +2
We show that the local Burkholder functional is quasiconvex. In the limit of going to 2 we find a class of non-polyconvex functionals which are quasiconvex on th…
math.CV2023
Extension of planar Hölder homeomorphisms
Stanislav Hencl, Aleksis Koski
Let \in (0; 1). We show that any -Hölder homeomorphism from the unit circle in the plane to the plane can be extended to an -Hölder homeomorphism from the whole unit disc…