Weak limit of homeomorphisms in $W^{1,n-1}$ and (INV) condition

Anna Doležalová, Stanislav Hencl, Jan Malý

Let $\Omega ,{\Omega }^{\prime }\subset {\mathbb{R}}^3$ be Lipschitz domains, let $f_m:\Omega \to {\Omega }^{\prime }$ be a sequence of homeomorphisms with prescribed Dirichlet boundary condition and $\sup_m \int_Ω(|Df_m|^2+1/J^2_…