The regularity problem for elliptic operators with boundary data in Hardy-Sobolev space $H{S}^1$

Martin Dindoš, Josef Kirsch

Let $\Omega$ be a Lipschitz domain in ${\mathbb{R}}^n,n\ge 3,$ and $L=\divt A\nabla$ be a second order elliptic operator in divergence form. We will establish that the solvability of the…