This article is cited in 4 papers

On the traces of Sobolev functions on the boundary of a cusp with a Hцlder singularity

A. S. Romanov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: For the Sobolev classes $W_p^1$ on a “zero” cusp with a Hölder singularity at the vertex, we consider the question of compactness of the embedding of the traces of Sobolev functions into the Lebesgue classes on the boundary of the cusp.

Keywords: Sobolev space, embedding theorem, trace.

UDC: 517.51

Received: 28.10.2005

 English version: Siberian Mathematical Journal, 2007, 48:1, 142–149

Bibliographic databases:

• 
• 
• 
•