Varopoulos extensions in domains with Ahlfors-regular boundaries and applications to Boundary Value Problems for elliptic systems with $L^{\infty }$ coefficients

Mihalis Mourgoglou, Thanasis Zacharopoulos

Let $\Omega \subset {\mathbb{R}}^{n+1}$, $n\ge 1$, be an open set with $s$-Ahlfors regular boundary $\partial \Omega$, for some $s\in (0,n]$, such that either $s=n$ and $\Omega$ is a corkscrew doma…