On mappings in the Orlicz-Sobolev classes on Riemannian manifolds

摘要

We study the problems of the continuous and homeomorphic extension to the boundary of lower Q-homeomorphisms between domains on Riemannian manifolds and formulate the corresponding consequences for homeomorphisms with finite distortion in the Orlicz-Sobolev classes W~(1,φ)_(loc) under a condition of the Calderon type for the function φ and, in particular, in the Sobolev classes W~(1,p)_(loc) for p > n - 1.