2 papers
math.AP2025
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.CV2025
Characterizing Sobolev Homeomorphic Extensions via Internal Distances
Aleksis Koski, Jani Onninen, Haiqing Xu
We give a full characterization of embeddings of the unit circle that admit a Sobolev homeomorphic extension to the unit disk. As a direct corollary, we establish that for quasicon…