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
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
Journal title :
Journal of Functional Analysis
