Hausdorff measure of critical set for Luzin $N$ condition

Anna Doležalová, Marika Hrubešová, Tomáš Roskovec

It is well-known that there is a Sobolev homeomorphism $f\in W^{1,p}([-1,1{]}^n,[-1,1{]}^n)$ for any $p<n$ which maps a set $C$ of zero Lebesgue $n$-dimensional measure onto the set of…