This article is cited in 1 paper

On the traces of Sobolev functions on the boundary of an anisotropic cusp

A. S. Romanov<sup>ab

a</sup> Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Abstract: Given a “zero” cusp $G_{\vec\lambda}$ with an anisotropic Hölder singularity at the vertex, we consider various embedding theorems for the Sobolev spaces $W^1_p(G_{\vec\lambda})$ and the questions of embeddings of the traces of Sobolev functions into Lebesgue classes on the boundary of the cusp.

Keywords: Sobolev space, embedding theorem, trace.

UDC: 517.51

Received: 13.11.2009

 English version: Siberian Mathematical Journal, 2011, 52:5, 914–920

Bibliographic databases:

• 
• 
•