On the trace regularity results of Musielak-Orlicz-Sobolev spaces in a bounded domain

Duchao  Liu; Beibei  Wang; Peihao  Zhao

doi:10.3934/cpaa.2016018

Article Contents

2016, Volume 15, Issue 5: 1643-1659. Doi: 10.3934/cpaa.2016018

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On the trace regularity results of Musielak-Orlicz-Sobolev spaces in a bounded domain

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000

Received: October 31, 2015

Revised: April 30, 2016

Published: August 2016

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Abstract

Under some reasonable conditions, some trace embedding properties of Musielak-Sobolev spaces in a bounded domain are given, including the trace on the inner lower dimensional hyperplane and the trace on the boundary. Furthermore, a compact trace embedding on the boundary is given.

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Mathematics Subject Classification: 35B38, 35D05, 35J20.

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References

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