Kavli Affiliate: Zheng Zhu | First 5 Authors: OndÅ™ej Bouchala, Stanislav Hencl, Zheng Zhu, , | Summary: In this paper for every $kinmathbb{Z}$ we construct a sequence of weakly converging homeomorphisms $h_mcolon B(0,10)tomathbb{R}^3$, $h_mrightharpoonup h$ in $W^{1,2}(B(0,10))$, such that $h_m(x)=x$ on $partial B(0,10)$ and for every $rin left(tfrac5{16},tfrac{7}{16}right)$ the degree of $h$ with respect to […]
Continue.. Weak Limit of $W^{1,2}$ Homeomorphisms in $mathbb{R}^3$ Can Have Any Degree