Title of article
On the existence of an extremal function in critical Sobolev trace embedding theorem
Author/Authors
A.I. Nazarov ?، نويسنده , , A.B. Reznikov، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
16
From page
3906
To page
3921
Abstract
Sufficient conditions for the existence of extremal functions in the trace Sobolev inequality and the trace
Sobolev–Poincaré inequality are established. It is shown that some of these conditions are sharp.
© 2010 Elsevier Inc. All rights reserved
Keywords
Critical trace Sobolev inequality , Sharp constants , Critical trace Sobolev–Poincaré inequality
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840201
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