Asymptotic behavior of the Orlicz-Sobolev classes at infinity

Abstract

The paper is devoted to the study of the behavior at infinity of homeomorphisms with finite distortion in the Orlicz-Sobolev classes $W^{1,\varphi}_{\rm loc}$ with a condition of the Calderon type on $\varphi$ and, in particular, in the classes $W^{1,p}_{\rm loc}$ with $p>n-1$.