Asymptotic behavior of the Orlicz-Sobolev classes at infinity

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 $p>n-1$.

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Bibliographic Details
Date:2015
Main Authors: Salimov, R. R., Салиров, Р. Р., Салимов, Р. Р.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/302
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine