On the Heumann problem for second order elliptic equations in domains with edges at the boundary

It is proved that a weak solution of the Heumann problem for a second order elliptic equation in the a domain $\Omega\subset\mathbb R^n$ with smooth non-intersecting $n-2$-dimensional edges at the boundary belongs to a certain weighted Sobolev space Coercive estimates of the solution in the norm of this space are established.