On imbedding theorems for weighted anisotropic Sobolev spaces
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 51-63
MSC: Primary 46E35.
DOI: 10.4064/am29-1-6
Abstract
Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in ${\Bbb E}^n$ are proved. By the weight we assume a power function of the distance from an $(n-2)$-dimensional subspace passing through the domain considered.