Trace Result for Sobolev Extension Domains

In this paper, we establish the existence and continuity of a trace operator for functions of the Sobolev space W<sup>1,p</sup>(Ω) with 1&lt;p&lt;∞ on the boundary of a domain Ω that has the Sobolev W<sup>1,p</sup>−extension property. First, we prove the existence and...

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Bibliographic Details
Main Authors: Djamel Ait-Akli, Abdelkader Merakeb
Format: Article
Language:English
Published: Etamaths Publishing 2021-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2359