Injectivity almost everywhere for weak limits of Sobolev homeomorphisms

Ondřej Bouchala, Stanislav Hencl, Anastasia Molchanova

Let $\Omega \subset {\mathbb{R}}^n$ be an open set and let $f\in W^{1,p}(\Omega ,{\mathbb{R}}^n)$ be a weak (sequential) limit of Sobolev homeomorphisms. Then $f$ is injective almost everywhere for…