|
Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 5, Pages 1150–1158
(Mi smj2265)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On the traces of Sobolev functions on the boundary of an anisotropic cusp
A. S. Romanovab a 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.
Received: 13.11.2009
Citation:
A. S. Romanov, “On the traces of Sobolev functions on the boundary of an anisotropic cusp”, Sibirsk. Mat. Zh., 52:5 (2011), 1150–1158; Siberian Math. J., 52:5 (2011), 914–920
Linking options:
https://www.mathnet.ru/eng/smj2265 https://www.mathnet.ru/eng/smj/v52/i5/p1150
|
Statistics & downloads: |
Abstract page: | 216 | Full-text PDF : | 75 | References: | 27 | First page: | 2 |
|