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.
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Original Russian Text Copyright © 2007 Romanov A. S.
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 1, pp. 176–184, January–February, 2007.
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Romanov, A.S. On the traces of Sobolev functions on the boundary of a cusp with a Hölder singularity. Sib Math J 48, 142–149 (2007). https://doi.org/10.1007/s11202-007-0014-4
- Sobolev space
- embedding theorem