Extendability of functions with partially vanishing trace

Sebastian Bechtel, Russell M. Brown, Robert Haller-Dintelmann +1

Let $\Omega \subseteq {\mathbb{R}}^d$ be open and $D\subseteq \partial \Omega$ be a closed part of its boundary. Under very mild assumptions on $\Omega$, we construct a bounded Sobolev extension oper…