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

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.