Sobolev mappings of Euclidean space and product structure

Bruce Kleiner, Stefan Müller, László Székelyhidi +1

We consider bounded open connected sets $\hat{I}{\text{c◯}}_1,\hat{I}{\text{c◯}}_2\subset {\mathbb{R}}^n$ and Sobolev maps $f:\hat{I}{\text{c◯}}_1\times \hat{I}{\text{c◯}}_2\subset {\mathbb{R}}^n\times {\mathbb{R}}^n$, such that for almost ever…