  We prove well-posedness and regularity results for elliptic boundary value
problems on certain domains with a smooth set of singular points. Our class of
domains contains the class of domains with isolated oscillating conical
singularities, and hence they generalize the classical results of Kondratiev on
domains with conical singularities. The proofs are based on conformal changes
of metric, on the differential geometry of manifolds with boundary and bounded
geometry, and on our earlier results on manifolds with boundary and bounded
geometry.
