Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel-Zheng theory

Elisa Davoli, Leon Happ

In this paper we prove a strong two-scale approximation result for sphere-valued maps in $L^2(\hat{I}\text{c◯};W_0^{1,2}(Q_0;{\mathbb{S}}^2))$, where $\hat{I}\text{c◯}\subset {\mathbb{R}}^3$ is an open domain and…