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math.AP2024
Lower semicontinuity, Stoilow factorization and principal maps
Kari Astala, Daniel Faraco, André Guerra +2
We consider a strengthening of the usual quasiconvexity condition of Morrey in two dimensions, which allows us to prove lower semicontinuity for functionals which are unbounded as…
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…