Weak Limit of $W^{1,2}$ Homeomorphisms in ${\mathbb{R}}^3$ Can Have Any Degree

Ondřej Bouchala, Stanislav Hencl, Zheng Zhu

In this paper for every $k\in \mathbb{Z}$ we construct a sequence of weakly converging homeomorphisms $h_m:B(0,10)\to {\mathbb{R}}^3$, $h_m\rightharpoonup h$ in $W^{1,2}(B(0,10))…